Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [93,2,Mod(11,93)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(93, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 23]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("93.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 93 = 3 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 93.p (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.742608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 17.5 | ||
Character | \(\chi\) | \(=\) | 93.17 |
Dual form | 93.2.p.b.11.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/93\mathbb{Z}\right)^\times\).
\(n\) | \(32\) | \(34\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{30}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.13134 | + | 0.367594i | 0.799977 | + | 0.259928i | 0.680347 | − | 0.732890i | \(-0.261829\pi\) |
0.119630 | + | 0.992819i | \(0.461829\pi\) | |||||||
\(3\) | −1.22157 | + | 1.22791i | −0.705273 | + | 0.708935i | ||||
\(4\) | −0.473233 | − | 0.343824i | −0.236616 | − | 0.171912i | ||||
\(5\) | 3.25867 | + | 1.88139i | 1.45732 | + | 0.841385i | 0.998879 | − | 0.0473395i | \(-0.0150743\pi\) |
0.458442 | + | 0.888724i | \(0.348408\pi\) | |||||||
\(6\) | −1.83338 | + | 0.940142i | −0.748475 | + | 0.383812i | ||||
\(7\) | −0.121266 | + | 1.15377i | −0.0458341 | + | 0.436082i | 0.947409 | + | 0.320027i | \(0.103692\pi\) |
−0.993243 | + | 0.116056i | \(0.962975\pi\) | |||||||
\(8\) | −1.80741 | − | 2.48769i | −0.639016 | − | 0.879530i | ||||
\(9\) | −0.0155363 | − | 2.99996i | −0.00517877 | − | 0.999987i | ||||
\(10\) | 2.99507 | + | 3.32636i | 0.947124 | + | 1.05189i | ||||
\(11\) | −1.44229 | + | 0.642148i | −0.434866 | + | 0.193615i | −0.612481 | − | 0.790485i | \(-0.709828\pi\) |
0.177615 | + | 0.984100i | \(0.443162\pi\) | |||||||
\(12\) | 1.00027 | − | 0.161084i | 0.288754 | − | 0.0465009i | ||||
\(13\) | 1.12113 | − | 5.27450i | 0.310945 | − | 1.46288i | −0.493963 | − | 0.869483i | \(-0.664452\pi\) |
0.804908 | − | 0.593399i | \(-0.202215\pi\) | |||||||
\(14\) | −0.561310 | + | 1.26072i | −0.150016 | + | 0.336942i | ||||
\(15\) | −6.29088 | + | 1.70311i | −1.62430 | + | 0.439740i | ||||
\(16\) | −0.768816 | − | 2.36617i | −0.192204 | − | 0.591543i | ||||
\(17\) | −3.70486 | − | 1.64951i | −0.898561 | − | 0.400065i | −0.0951312 | − | 0.995465i | \(-0.530327\pi\) |
−0.803430 | + | 0.595400i | \(0.796994\pi\) | |||||||
\(18\) | 1.08519 | − | 3.39968i | 0.255782 | − | 0.801312i | ||||
\(19\) | 2.07066 | − | 0.440133i | 0.475043 | − | 0.100973i | 0.0358327 | − | 0.999358i | \(-0.488592\pi\) |
0.439210 | + | 0.898384i | \(0.355258\pi\) | |||||||
\(20\) | −0.895241 | − | 2.01075i | −0.200182 | − | 0.449616i | ||||
\(21\) | −1.26859 | − | 1.55831i | −0.276829 | − | 0.340051i | ||||
\(22\) | −1.86777 | + | 0.196310i | −0.398209 | + | 0.0418534i | ||||
\(23\) | −1.05297 | + | 0.765029i | −0.219560 | + | 0.159520i | −0.692129 | − | 0.721774i | \(-0.743327\pi\) |
0.472569 | + | 0.881294i | \(0.343327\pi\) | |||||||
\(24\) | 5.26254 | + | 0.819541i | 1.07421 | + | 0.167288i | ||||
\(25\) | 4.57928 | + | 7.93155i | 0.915856 | + | 1.58631i | ||||
\(26\) | 3.20725 | − | 5.55512i | 0.628994 | − | 1.08945i | ||||
\(27\) | 3.70267 | + | 3.64558i | 0.712578 | + | 0.701593i | ||||
\(28\) | 0.454079 | − | 0.504306i | 0.0858129 | − | 0.0953048i | ||||
\(29\) | 0.285528 | − | 0.878764i | 0.0530212 | − | 0.163182i | −0.921040 | − | 0.389469i | \(-0.872659\pi\) |
0.974061 | + | 0.226286i | \(0.0726586\pi\) | |||||||
\(30\) | −7.74316 | − | 0.385699i | −1.41370 | − | 0.0704188i | ||||
\(31\) | 1.59217 | + | 5.33526i | 0.285963 | + | 0.958241i | ||||
\(32\) | 3.19035i | 0.563979i | ||||||||
\(33\) | 0.973354 | − | 2.55543i | 0.169439 | − | 0.444843i | ||||
\(34\) | −3.58510 | − | 3.22804i | −0.614840 | − | 0.553604i | ||||
\(35\) | −2.56585 | + | 3.53159i | −0.433708 | + | 0.596948i | ||||
\(36\) | −1.02411 | + | 1.42502i | −0.170684 | + | 0.237504i | ||||
\(37\) | −7.98383 | + | 4.60947i | −1.31253 | + | 0.757792i | −0.982515 | − | 0.186183i | \(-0.940388\pi\) |
−0.330019 | + | 0.943974i | \(0.607055\pi\) | |||||||
\(38\) | 2.50441 | + | 0.263224i | 0.406269 | + | 0.0427006i | ||||
\(39\) | 5.10708 | + | 7.81981i | 0.817788 | + | 1.25217i | ||||
\(40\) | −1.20943 | − | 11.5070i | −0.191228 | − | 1.81942i | ||||
\(41\) | 2.74468 | − | 2.47132i | 0.428647 | − | 0.385955i | −0.426376 | − | 0.904546i | \(-0.640210\pi\) |
0.855022 | + | 0.518591i | \(0.173543\pi\) | |||||||
\(42\) | −0.862378 | − | 2.22930i | −0.133068 | − | 0.343988i | ||||
\(43\) | −1.64332 | − | 7.73123i | −0.250605 | − | 1.17900i | −0.905854 | − | 0.423590i | \(-0.860770\pi\) |
0.655250 | − | 0.755412i | \(-0.272563\pi\) | |||||||
\(44\) | 0.903324 | + | 0.192007i | 0.136181 | + | 0.0289462i | ||||
\(45\) | 5.59348 | − | 9.80511i | 0.833826 | − | 1.46166i | ||||
\(46\) | −1.47249 | + | 0.478441i | −0.217107 | + | 0.0705422i | ||||
\(47\) | −7.19341 | + | 2.33728i | −1.04927 | + | 0.340928i | −0.782381 | − | 0.622801i | \(-0.785995\pi\) |
−0.266886 | + | 0.963728i | \(0.585995\pi\) | |||||||
\(48\) | 3.84461 | + | 1.94640i | 0.554922 | + | 0.280939i | ||||
\(49\) | 5.53056 | + | 1.17556i | 0.790081 | + | 0.167937i | ||||
\(50\) | 2.26513 | + | 10.6566i | 0.320337 | + | 1.50707i | ||||
\(51\) | 6.55120 | − | 2.53425i | 0.917351 | − | 0.354866i | ||||
\(52\) | −2.34405 | + | 2.11059i | −0.325062 | + | 0.292687i | ||||
\(53\) | 0.927089 | + | 8.82066i | 0.127345 | + | 1.21161i | 0.852389 | + | 0.522908i | \(0.175153\pi\) |
−0.725043 | + | 0.688703i | \(0.758180\pi\) | |||||||
\(54\) | 2.84887 | + | 5.48546i | 0.387683 | + | 0.746477i | ||||
\(55\) | −5.90807 | − | 0.620963i | −0.796644 | − | 0.0837307i | ||||
\(56\) | 3.08938 | − | 1.78366i | 0.412836 | − | 0.238351i | ||||
\(57\) | −1.98901 | + | 3.08025i | −0.263451 | + | 0.407989i | ||||
\(58\) | 0.646057 | − | 0.889222i | 0.0848315 | − | 0.116761i | ||||
\(59\) | −7.74731 | − | 6.97571i | −1.00861 | − | 0.908160i | −0.0128323 | − | 0.999918i | \(-0.504085\pi\) |
−0.995781 | + | 0.0917578i | \(0.970751\pi\) | |||||||
\(60\) | 3.56262 | + | 1.35699i | 0.459932 | + | 0.175186i | ||||
\(61\) | 4.86376i | 0.622741i | 0.950289 | + | 0.311371i | \(0.100788\pi\) | ||||
−0.950289 | + | 0.311371i | \(0.899212\pi\) | |||||||
\(62\) | −0.159922 | + | 6.62126i | −0.0203101 | + | 0.840900i | ||||
\(63\) | 3.46313 | + | 0.345867i | 0.436314 | + | 0.0435751i | ||||
\(64\) | −2.71038 | + | 8.34170i | −0.338798 | + | 1.04271i | ||||
\(65\) | 13.5768 | − | 15.0786i | 1.68399 | − | 1.87026i | ||||
\(66\) | 2.04055 | − | 2.53326i | 0.251175 | − | 0.311823i | ||||
\(67\) | 1.87847 | − | 3.25360i | 0.229491 | − | 0.397491i | −0.728166 | − | 0.685401i | \(-0.759627\pi\) |
0.957657 | + | 0.287910i | \(0.0929604\pi\) | |||||||
\(68\) | 1.18612 | + | 2.05442i | 0.143838 | + | 0.249135i | ||||
\(69\) | 0.346890 | − | 2.22749i | 0.0417607 | − | 0.268159i | ||||
\(70\) | −4.20104 | + | 3.05223i | −0.502120 | + | 0.364812i | ||||
\(71\) | 7.89756 | − | 0.830067i | 0.937267 | − | 0.0985108i | 0.376438 | − | 0.926442i | \(-0.377149\pi\) |
0.560830 | + | 0.827931i | \(0.310482\pi\) | |||||||
\(72\) | −7.43488 | + | 5.46081i | −0.876209 | + | 0.643562i | ||||
\(73\) | 0.894859 | + | 2.00989i | 0.104735 | + | 0.235239i | 0.958310 | − | 0.285732i | \(-0.0922366\pi\) |
−0.853574 | + | 0.520971i | \(0.825570\pi\) | |||||||
\(74\) | −10.7268 | + | 2.28006i | −1.24697 | + | 0.265051i | ||||
\(75\) | −15.3332 | − | 4.06598i | −1.77052 | − | 0.469499i | ||||
\(76\) | −1.13123 | − | 0.503658i | −0.129761 | − | 0.0577735i | ||||
\(77\) | −0.565988 | − | 1.74193i | −0.0645003 | − | 0.198512i | ||||
\(78\) | 2.90332 | + | 10.7242i | 0.328736 | + | 1.21428i | ||||
\(79\) | 1.85553 | − | 4.16759i | 0.208764 | − | 0.468891i | −0.778568 | − | 0.627560i | \(-0.784054\pi\) |
0.987332 | + | 0.158669i | \(0.0507204\pi\) | |||||||
\(80\) | 1.94638 | − | 9.15701i | 0.217612 | − | 1.02379i | ||||
\(81\) | −8.99952 | + | 0.0932166i | −0.999946 | + | 0.0103574i | ||||
\(82\) | 4.01360 | − | 1.78697i | 0.443228 | − | 0.197338i | ||||
\(83\) | −3.43714 | − | 3.81733i | −0.377276 | − | 0.419007i | 0.524365 | − | 0.851494i | \(-0.324303\pi\) |
−0.901640 | + | 0.432487i | \(0.857636\pi\) | |||||||
\(84\) | 0.0645542 | + | 1.17361i | 0.00704344 | + | 0.128052i | ||||
\(85\) | −8.96954 | − | 12.3455i | −0.972883 | − | 1.33906i | ||||
\(86\) | 0.982800 | − | 9.35072i | 0.105978 | − | 1.00831i | ||||
\(87\) | 0.730253 | + | 1.42407i | 0.0782914 | + | 0.152677i | ||||
\(88\) | 4.20427 | + | 2.42734i | 0.448177 | + | 0.258755i | ||||
\(89\) | 2.01575 | + | 1.46453i | 0.213669 | + | 0.155240i | 0.689472 | − | 0.724312i | \(-0.257842\pi\) |
−0.475803 | + | 0.879552i | \(0.657842\pi\) | |||||||
\(90\) | 9.93241 | − | 9.03676i | 1.04697 | − | 0.952558i | ||||
\(91\) | 5.94958 | + | 1.93314i | 0.623685 | + | 0.202648i | ||||
\(92\) | 0.761337 | 0.0793748 | ||||||||
\(93\) | −8.49618 | − | 4.56234i | −0.881013 | − | 0.473092i | ||||
\(94\) | −8.99735 | −0.928006 | ||||||||
\(95\) | 7.57567 | + | 2.46148i | 0.777247 | + | 0.252543i | ||||
\(96\) | −3.91747 | − | 3.89723i | −0.399825 | − | 0.397759i | ||||
\(97\) | 8.65013 | + | 6.28469i | 0.878288 | + | 0.638114i | 0.932798 | − | 0.360400i | \(-0.117360\pi\) |
−0.0545100 | + | 0.998513i | \(0.517360\pi\) | |||||||
\(98\) | 5.82481 | + | 3.36296i | 0.588395 | + | 0.339710i | ||||
\(99\) | 1.94883 | + | 4.31683i | 0.195864 | + | 0.433858i | ||||
\(100\) | 0.559989 | − | 5.32794i | 0.0559989 | − | 0.532794i | ||||
\(101\) | −5.24637 | − | 7.22101i | −0.522033 | − | 0.718517i | 0.463857 | − | 0.885910i | \(-0.346465\pi\) |
−0.985890 | + | 0.167393i | \(0.946465\pi\) | |||||||
\(102\) | 8.34320 | − | 0.458915i | 0.826100 | − | 0.0454393i | ||||
\(103\) | −9.21813 | − | 10.2378i | −0.908289 | − | 1.00876i | −0.999916 | − | 0.0129638i | \(-0.995873\pi\) |
0.0916269 | − | 0.995793i | \(-0.470793\pi\) | |||||||
\(104\) | −15.1476 | + | 6.74416i | −1.48535 | + | 0.661320i | ||||
\(105\) | −1.20212 | − | 7.46472i | −0.117315 | − | 0.728483i | ||||
\(106\) | −2.19357 | + | 10.3199i | −0.213059 | + | 1.00236i | ||||
\(107\) | −5.11120 | + | 11.4799i | −0.494119 | + | 1.10981i | 0.478645 | + | 0.878009i | \(0.341128\pi\) |
−0.972763 | + | 0.231800i | \(0.925539\pi\) | |||||||
\(108\) | −0.498785 | − | 2.99827i | −0.0479956 | − | 0.288509i | ||||
\(109\) | 3.12175 | + | 9.60775i | 0.299009 | + | 0.920256i | 0.981845 | + | 0.189684i | \(0.0607464\pi\) |
−0.682836 | + | 0.730572i | \(0.739254\pi\) | |||||||
\(110\) | −6.45577 | − | 2.87429i | −0.615533 | − | 0.274053i | ||||
\(111\) | 4.09278 | − | 15.4342i | 0.388470 | − | 1.46495i | ||||
\(112\) | 2.82324 | − | 0.600098i | 0.266771 | − | 0.0567039i | ||||
\(113\) | −2.49342 | − | 5.60030i | −0.234561 | − | 0.526832i | 0.757464 | − | 0.652877i | \(-0.226438\pi\) |
−0.992025 | + | 0.126045i | \(0.959772\pi\) | |||||||
\(114\) | −3.38253 | + | 2.75365i | −0.316803 | + | 0.257903i | ||||
\(115\) | −4.87061 | + | 0.511922i | −0.454187 | + | 0.0477370i | ||||
\(116\) | −0.437261 | + | 0.317689i | −0.0405987 | + | 0.0294967i | ||||
\(117\) | −15.8407 | − | 3.28140i | −1.46447 | − | 0.303365i | ||||
\(118\) | −6.20060 | − | 10.7398i | −0.570811 | − | 0.988674i | ||||
\(119\) | 2.35242 | − | 4.07451i | 0.215646 | − | 0.373510i | ||||
\(120\) | 15.6070 | + | 12.5715i | 1.42472 | + | 1.14762i | ||||
\(121\) | −5.69260 | + | 6.32227i | −0.517509 | + | 0.574752i | ||||
\(122\) | −1.78789 | + | 5.50256i | −0.161868 | + | 0.498179i | ||||
\(123\) | −0.318252 | + | 6.38911i | −0.0286958 | + | 0.576087i | ||||
\(124\) | 1.08092 | − | 3.07225i | 0.0970695 | − | 0.275896i | ||||
\(125\) | 15.6478i | 1.39958i | ||||||||
\(126\) | 3.79084 | + | 1.66432i | 0.337715 | + | 0.148269i | ||||
\(127\) | 13.1249 | + | 11.8177i | 1.16465 | + | 1.04865i | 0.998037 | + | 0.0626292i | \(0.0199485\pi\) |
0.166609 | + | 0.986023i | \(0.446718\pi\) | |||||||
\(128\) | −2.38225 | + | 3.27888i | −0.210563 | + | 0.289815i | ||||
\(129\) | 11.5007 | + | 7.42638i | 1.01258 | + | 0.653856i | ||||
\(130\) | 20.9027 | − | 12.0682i | 1.83329 | − | 1.05845i | ||||
\(131\) | 2.68613 | + | 0.282323i | 0.234688 | + | 0.0246667i | 0.221142 | − | 0.975242i | \(-0.429021\pi\) |
0.0135456 | + | 0.999908i | \(0.495688\pi\) | |||||||
\(132\) | −1.33924 | + | 0.874652i | −0.116566 | + | 0.0761287i | ||||
\(133\) | 0.256710 | + | 2.44243i | 0.0222596 | + | 0.211786i | ||||
\(134\) | 3.32119 | − | 2.99041i | 0.286907 | − | 0.258332i | ||||
\(135\) | 5.20699 | + | 18.8459i | 0.448146 | + | 1.62200i | ||||
\(136\) | 2.59274 | + | 12.1979i | 0.222326 | + | 1.04596i | ||||
\(137\) | 1.46614 | + | 0.311639i | 0.125261 | + | 0.0266251i | 0.270116 | − | 0.962828i | \(-0.412938\pi\) |
−0.144854 | + | 0.989453i | \(0.546271\pi\) | |||||||
\(138\) | 1.21126 | − | 2.39254i | 0.103110 | − | 0.203666i | ||||
\(139\) | 9.59427 | − | 3.11737i | 0.813775 | − | 0.264412i | 0.127579 | − | 0.991828i | \(-0.459279\pi\) |
0.686196 | + | 0.727417i | \(0.259279\pi\) | |||||||
\(140\) | 2.42849 | − | 0.789064i | 0.205245 | − | 0.0666881i | ||||
\(141\) | 5.91728 | − | 11.6880i | 0.498325 | − | 0.984310i | ||||
\(142\) | 9.23994 | + | 1.96401i | 0.775398 | + | 0.164816i | ||||
\(143\) | 1.77002 | + | 8.32728i | 0.148016 | + | 0.696362i | ||||
\(144\) | −7.08647 | + | 2.34318i | −0.590540 | + | 0.195265i | ||||
\(145\) | 2.58374 | − | 2.32641i | 0.214568 | − | 0.193198i | ||||
\(146\) | 0.273566 | + | 2.60281i | 0.0226405 | + | 0.215410i | ||||
\(147\) | −8.19945 | + | 5.35502i | −0.676279 | + | 0.441675i | ||||
\(148\) | 5.36306 | + | 0.563680i | 0.440841 | + | 0.0463342i | ||||
\(149\) | 14.2926 | − | 8.25182i | 1.17089 | − | 0.676016i | 0.217003 | − | 0.976171i | \(-0.430372\pi\) |
0.953890 | + | 0.300155i | \(0.0970385\pi\) | |||||||
\(150\) | −15.8524 | − | 10.2364i | −1.29434 | − | 0.835797i | ||||
\(151\) | 5.96820 | − | 8.21452i | 0.485685 | − | 0.668488i | −0.493900 | − | 0.869519i | \(-0.664429\pi\) |
0.979585 | + | 0.201031i | \(0.0644291\pi\) | |||||||
\(152\) | −4.83745 | − | 4.35566i | −0.392369 | − | 0.353291i | ||||
\(153\) | −4.89091 | + | 11.1401i | −0.395406 | + | 0.900621i | ||||
\(154\) | − | 2.17877i | − | 0.175570i | ||||||
\(155\) | −4.84935 | + | 20.3813i | −0.389509 | + | 1.63707i | ||||
\(156\) | 0.271799 | − | 5.45653i | 0.0217613 | − | 0.436872i | ||||
\(157\) | 3.99077 | − | 12.2823i | 0.318498 | − | 0.980235i | −0.655793 | − | 0.754941i | \(-0.727666\pi\) |
0.974291 | − | 0.225295i | \(-0.0723344\pi\) | |||||||
\(158\) | 3.63122 | − | 4.03287i | 0.288884 | − | 0.320838i | ||||
\(159\) | −11.9635 | − | 9.63667i | −0.948768 | − | 0.764238i | ||||
\(160\) | −6.00230 | + | 10.3963i | −0.474523 | + | 0.821898i | ||||
\(161\) | −0.754975 | − | 1.30766i | −0.0595004 | − | 0.103058i | ||||
\(162\) | −10.2158 | − | 3.20271i | −0.802626 | − | 0.251629i | ||||
\(163\) | −10.5737 | + | 7.68227i | −0.828199 | + | 0.601722i | −0.919049 | − | 0.394143i | \(-0.871042\pi\) |
0.0908502 | + | 0.995865i | \(0.471042\pi\) | |||||||
\(164\) | −2.14857 | + | 0.225824i | −0.167775 | + | 0.0176339i | ||||
\(165\) | 7.97961 | − | 6.49604i | 0.621212 | − | 0.505716i | ||||
\(166\) | −2.48534 | − | 5.58217i | −0.192900 | − | 0.433261i | ||||
\(167\) | 13.9748 | − | 2.97044i | 1.08140 | − | 0.229859i | 0.367443 | − | 0.930046i | \(-0.380233\pi\) |
0.713960 | + | 0.700187i | \(0.246900\pi\) | |||||||
\(168\) | −1.58372 | + | 5.97235i | −0.122187 | + | 0.460777i | ||||
\(169\) | −14.6873 | − | 6.53921i | −1.12979 | − | 0.503016i | ||||
\(170\) | −5.60945 | − | 17.2641i | −0.430225 | − | 1.32410i | ||||
\(171\) | −1.35255 | − | 6.20507i | −0.103432 | − | 0.474514i | ||||
\(172\) | −1.88051 | + | 4.22369i | −0.143387 | + | 0.322053i | ||||
\(173\) | 1.12821 | − | 5.30779i | 0.0857759 | − | 0.403544i | −0.914223 | − | 0.405212i | \(-0.867198\pi\) |
0.999999 | + | 0.00166815i | \(0.000530987\pi\) | |||||||
\(174\) | 0.302682 | + | 1.87955i | 0.0229463 | + | 0.142488i | ||||
\(175\) | −9.70646 | + | 4.32159i | −0.733739 | + | 0.326682i | ||||
\(176\) | 2.62829 | + | 2.91901i | 0.198114 | + | 0.220028i | ||||
\(177\) | 18.0294 | − | 0.991702i | 1.35518 | − | 0.0745409i | ||||
\(178\) | 1.74215 | + | 2.39786i | 0.130579 | + | 0.179727i | ||||
\(179\) | 0.0625795 | − | 0.595405i | 0.00467741 | − | 0.0445026i | −0.991934 | − | 0.126754i | \(-0.959544\pi\) |
0.996612 | + | 0.0822510i | \(0.0262109\pi\) | |||||||
\(180\) | −6.01825 | + | 2.71693i | −0.448574 | + | 0.202508i | ||||
\(181\) | 2.80488 | + | 1.61940i | 0.208485 | + | 0.120369i | 0.600607 | − | 0.799544i | \(-0.294926\pi\) |
−0.392122 | + | 0.919913i | \(0.628259\pi\) | |||||||
\(182\) | 6.02038 | + | 4.37406i | 0.446260 | + | 0.324227i | ||||
\(183\) | −5.97228 | − | 5.94143i | −0.441483 | − | 0.439203i | ||||
\(184\) | 3.80631 | + | 1.23674i | 0.280605 | + | 0.0911740i | ||||
\(185\) | −34.6889 | −2.55038 | ||||||||
\(186\) | −7.93497 | − | 8.28469i | −0.581820 | − | 0.607463i | ||||
\(187\) | 6.40271 | 0.468212 | ||||||||
\(188\) | 4.20777 | + | 1.36719i | 0.306883 | + | 0.0997124i | ||||
\(189\) | −4.65515 | + | 3.82992i | −0.338613 | + | 0.278586i | ||||
\(190\) | 7.66582 | + | 5.56954i | 0.556137 | + | 0.404057i | ||||
\(191\) | 1.82620 | + | 1.05436i | 0.132139 | + | 0.0762907i | 0.564613 | − | 0.825356i | \(-0.309026\pi\) |
−0.432473 | + | 0.901647i | \(0.642359\pi\) | |||||||
\(192\) | −6.93196 | − | 13.5181i | −0.500271 | − | 0.975584i | ||||
\(193\) | −0.379362 | + | 3.60939i | −0.0273071 | + | 0.259810i | 0.972348 | + | 0.233538i | \(0.0750302\pi\) |
−0.999655 | + | 0.0262719i | \(0.991636\pi\) | |||||||
\(194\) | 7.47601 | + | 10.2898i | 0.536746 | + | 0.738768i | ||||
\(195\) | 1.93015 | + | 35.0906i | 0.138221 | + | 2.51289i | ||||
\(196\) | −2.21306 | − | 2.45785i | −0.158076 | − | 0.175561i | ||||
\(197\) | −2.19081 | + | 0.975409i | −0.156088 | + | 0.0694950i | −0.483294 | − | 0.875458i | \(-0.660560\pi\) |
0.327205 | + | 0.944953i | \(0.393893\pi\) | |||||||
\(198\) | 0.617940 | + | 5.60017i | 0.0439151 | + | 0.397987i | ||||
\(199\) | 2.00691 | − | 9.44178i | 0.142266 | − | 0.669310i | −0.847985 | − | 0.530020i | \(-0.822185\pi\) |
0.990252 | − | 0.139290i | \(-0.0444821\pi\) | |||||||
\(200\) | 11.4546 | − | 25.7274i | 0.809960 | − | 1.81920i | ||||
\(201\) | 1.70046 | + | 6.28109i | 0.119941 | + | 0.443034i | ||||
\(202\) | −3.28102 | − | 10.0979i | −0.230852 | − | 0.710489i | ||||
\(203\) | 0.979263 | + | 0.435996i | 0.0687308 | + | 0.0306009i | ||||
\(204\) | −3.97158 | − | 1.05317i | −0.278066 | − | 0.0737364i | ||||
\(205\) | 13.5935 | − | 2.88939i | 0.949412 | − | 0.201804i | ||||
\(206\) | −6.66548 | − | 14.9709i | −0.464406 | − | 1.04307i | ||||
\(207\) | 2.31142 | + | 3.14699i | 0.160655 | + | 0.218731i | ||||
\(208\) | −13.3423 | + | 1.40233i | −0.925123 | + | 0.0972343i | ||||
\(209\) | −2.70386 | + | 1.96447i | −0.187030 | + | 0.135885i | ||||
\(210\) | 1.38399 | − | 8.88702i | 0.0955041 | − | 0.613263i | ||||
\(211\) | −2.15453 | − | 3.73176i | −0.148324 | − | 0.256905i | 0.782284 | − | 0.622922i | \(-0.214055\pi\) |
−0.930608 | + | 0.366017i | \(0.880721\pi\) | |||||||
\(212\) | 2.59403 | − | 4.49298i | 0.178158 | − | 0.308579i | ||||
\(213\) | −8.62816 | + | 10.7115i | −0.591192 | + | 0.733939i | ||||
\(214\) | −10.0025 | + | 11.1089i | −0.683754 | + | 0.759386i | ||||
\(215\) | 9.19044 | − | 28.2853i | 0.626783 | − | 1.92904i | ||||
\(216\) | 2.37683 | − | 15.8001i | 0.161723 | − | 1.07506i | ||||
\(217\) | −6.34871 | + | 1.19001i | −0.430979 | + | 0.0807833i | ||||
\(218\) | 12.0172i | 0.813905i | ||||||||
\(219\) | −3.56110 | − | 1.35641i | −0.240637 | − | 0.0916576i | ||||
\(220\) | 2.58239 | + | 2.32520i | 0.174105 | + | 0.156765i | ||||
\(221\) | −12.8540 | + | 17.6920i | −0.864651 | + | 1.19009i | ||||
\(222\) | 10.3039 | − | 15.9569i | 0.691549 | − | 1.07095i | ||||
\(223\) | 5.90105 | − | 3.40697i | 0.395163 | − | 0.228148i | −0.289232 | − | 0.957259i | \(-0.593400\pi\) |
0.684395 | + | 0.729111i | \(0.260066\pi\) | |||||||
\(224\) | −3.68091 | − | 0.386879i | −0.245941 | − | 0.0258495i | ||||
\(225\) | 23.7232 | − | 13.8609i | 1.58155 | − | 0.924059i | ||||
\(226\) | −0.762259 | − | 7.25241i | −0.0507047 | − | 0.482423i | ||||
\(227\) | −4.05339 | + | 3.64969i | −0.269033 | + | 0.242239i | −0.792594 | − | 0.609750i | \(-0.791270\pi\) |
0.523561 | + | 0.851988i | \(0.324603\pi\) | |||||||
\(228\) | 2.00033 | − | 0.773803i | 0.132475 | − | 0.0512464i | ||||
\(229\) | 4.22707 | + | 19.8868i | 0.279333 | + | 1.31416i | 0.864250 | + | 0.503063i | \(0.167794\pi\) |
−0.584917 | + | 0.811093i | \(0.698873\pi\) | |||||||
\(230\) | −5.69849 | − | 1.21125i | −0.375747 | − | 0.0798675i | ||||
\(231\) | 2.83033 | + | 1.43291i | 0.186222 | + | 0.0942784i | ||||
\(232\) | −2.70216 | + | 0.877984i | −0.177405 | + | 0.0576425i | ||||
\(233\) | −8.76839 | + | 2.84902i | −0.574437 | + | 0.186646i | −0.581807 | − | 0.813327i | \(-0.697654\pi\) |
0.00737018 | + | 0.999973i | \(0.497654\pi\) | |||||||
\(234\) | −16.7150 | − | 9.53532i | −1.09269 | − | 0.623343i | ||||
\(235\) | −27.8383 | − | 5.91721i | −1.81597 | − | 0.385996i | ||||
\(236\) | 1.26787 | + | 5.96484i | 0.0825311 | + | 0.388278i | ||||
\(237\) | 2.85078 | + | 7.36943i | 0.185178 | + | 0.478696i | ||||
\(238\) | 4.15915 | − | 3.74492i | 0.269598 | − | 0.242747i | ||||
\(239\) | −0.458427 | − | 4.36164i | −0.0296532 | − | 0.282131i | −0.999293 | − | 0.0375939i | \(-0.988031\pi\) |
0.969640 | − | 0.244537i | \(-0.0786360\pi\) | |||||||
\(240\) | 8.86637 | + | 13.5759i | 0.572321 | + | 0.876322i | ||||
\(241\) | 10.1009 | + | 1.06165i | 0.650657 | + | 0.0683868i | 0.424106 | − | 0.905613i | \(-0.360588\pi\) |
0.226551 | + | 0.973999i | \(0.427255\pi\) | |||||||
\(242\) | −8.76428 | + | 5.06006i | −0.563389 | + | 0.325273i | ||||
\(243\) | 10.8791 | − | 11.1645i | 0.697893 | − | 0.716202i | ||||
\(244\) | 1.67228 | − | 2.30169i | 0.107057 | − | 0.147351i | ||||
\(245\) | 15.8106 | + | 14.2359i | 1.01010 | + | 0.909500i | ||||
\(246\) | −2.70865 | + | 7.11126i | −0.172697 | + | 0.453397i | ||||
\(247\) | − | 11.4152i | − | 0.726329i | ||||||
\(248\) | 10.3947 | − | 13.6038i | 0.660067 | − | 0.863844i | ||||
\(249\) | 8.88606 | + | 0.442629i | 0.563131 | + | 0.0280505i | ||||
\(250\) | −5.75204 | + | 17.7029i | −0.363791 | + | 1.11963i | ||||
\(251\) | 2.88906 | − | 3.20863i | 0.182356 | − | 0.202527i | −0.645035 | − | 0.764153i | \(-0.723157\pi\) |
0.827391 | + | 0.561626i | \(0.189824\pi\) | |||||||
\(252\) | −1.51995 | − | 1.35438i | −0.0957480 | − | 0.0853181i | ||||
\(253\) | 1.02743 | − | 1.77956i | 0.0645938 | − | 0.111880i | ||||
\(254\) | 10.5046 | + | 18.1945i | 0.659116 | + | 1.14162i | ||||
\(255\) | 26.1161 | + | 4.06709i | 1.63545 | + | 0.254691i | ||||
\(256\) | 10.2913 | − | 7.47709i | 0.643208 | − | 0.467318i | ||||
\(257\) | 27.4716 | − | 2.88738i | 1.71363 | − | 0.180110i | 0.803745 | − | 0.594974i | \(-0.202838\pi\) |
0.909883 | + | 0.414864i | \(0.136171\pi\) | |||||||
\(258\) | 10.2813 | + | 12.6293i | 0.640086 | + | 0.786268i | ||||
\(259\) | −4.35008 | − | 9.77044i | −0.270301 | − | 0.607106i | ||||
\(260\) | −11.6094 | + | 2.46764i | −0.719981 | + | 0.153037i | ||||
\(261\) | −2.64069 | − | 0.842919i | −0.163455 | − | 0.0521754i | ||||
\(262\) | 2.93514 | + | 1.30681i | 0.181333 | + | 0.0807348i | ||||
\(263\) | 5.83384 | + | 17.9547i | 0.359730 | + | 1.10713i | 0.953216 | + | 0.302290i | \(0.0977513\pi\) |
−0.593486 | + | 0.804844i | \(0.702249\pi\) | |||||||
\(264\) | −8.11636 | + | 2.19731i | −0.499527 | + | 0.135235i | ||||
\(265\) | −13.5741 | + | 30.4878i | −0.833848 | + | 1.87285i | ||||
\(266\) | −0.607398 | + | 2.85758i | −0.0372420 | + | 0.175210i | ||||
\(267\) | −4.26070 | + | 0.686142i | −0.260750 | + | 0.0419912i | ||||
\(268\) | −2.00762 | + | 0.893849i | −0.122635 | + | 0.0546005i | ||||
\(269\) | −18.5110 | − | 20.5586i | −1.12864 | − | 1.25348i | −0.963646 | − | 0.267183i | \(-0.913907\pi\) |
−0.164991 | − | 0.986295i | \(-0.552760\pi\) | |||||||
\(270\) | −1.03678 | + | 23.2352i | −0.0630966 | + | 1.41405i | ||||
\(271\) | −2.84575 | − | 3.91684i | −0.172867 | − | 0.237931i | 0.713789 | − | 0.700361i | \(-0.246978\pi\) |
−0.886656 | + | 0.462430i | \(0.846978\pi\) | |||||||
\(272\) | −1.05467 | + | 10.0345i | −0.0639487 | + | 0.608431i | ||||
\(273\) | −9.64154 | + | 4.94410i | −0.583533 | + | 0.299231i | ||||
\(274\) | 1.54415 | + | 0.891515i | 0.0932855 | + | 0.0538584i | ||||
\(275\) | −11.6979 | − | 8.49900i | −0.705408 | − | 0.512509i | ||||
\(276\) | −0.930026 | + | 0.934855i | −0.0559810 | + | 0.0562716i | ||||
\(277\) | −26.7266 | − | 8.68400i | −1.60585 | − | 0.521771i | −0.637302 | − | 0.770614i | \(-0.719950\pi\) |
−0.968544 | + | 0.248843i | \(0.919950\pi\) | |||||||
\(278\) | 12.0003 | 0.719729 | ||||||||
\(279\) | 15.9808 | − | 4.85935i | 0.956747 | − | 0.290922i | ||||
\(280\) | 13.4230 | 0.802180 | ||||||||
\(281\) | 3.30079 | + | 1.07249i | 0.196908 | + | 0.0639794i | 0.405811 | − | 0.913957i | \(-0.366989\pi\) |
−0.208903 | + | 0.977936i | \(0.566989\pi\) | |||||||
\(282\) | 10.9909 | − | 11.0480i | 0.654498 | − | 0.657896i | ||||
\(283\) | −18.6877 | − | 13.5774i | −1.11087 | − | 0.807093i | −0.128068 | − | 0.991765i | \(-0.540878\pi\) |
−0.982800 | + | 0.184672i | \(0.940878\pi\) | |||||||
\(284\) | −4.02278 | − | 2.32255i | −0.238708 | − | 0.137818i | ||||
\(285\) | −12.2767 | + | 6.29538i | −0.727209 | + | 0.372906i | ||||
\(286\) | −1.05857 | + | 10.0716i | −0.0625945 | + | 0.595547i | ||||
\(287\) | 2.51849 | + | 3.46640i | 0.148662 | + | 0.204615i | ||||
\(288\) | 9.57091 | − | 0.0495662i | 0.563971 | − | 0.00292072i | ||||
\(289\) | −0.370106 | − | 0.411044i | −0.0217709 | − | 0.0241791i | ||||
\(290\) | 3.77826 | − | 1.68219i | 0.221867 | − | 0.0987816i | ||||
\(291\) | −18.2838 | + | 2.94442i | −1.07181 | + | 0.172605i | ||||
\(292\) | 0.267570 | − | 1.25882i | 0.0156584 | − | 0.0736668i | ||||
\(293\) | −4.71099 | + | 10.5811i | −0.275219 | + | 0.618152i | −0.997282 | − | 0.0736750i | \(-0.976527\pi\) |
0.722063 | + | 0.691827i | \(0.243194\pi\) | |||||||
\(294\) | −11.2448 | + | 3.04427i | −0.655812 | + | 0.177546i | ||||
\(295\) | −12.1219 | − | 37.3073i | −0.705762 | − | 2.17211i | ||||
\(296\) | 25.8970 | + | 11.5301i | 1.50523 | + | 0.670172i | ||||
\(297\) | −7.68131 | − | 2.88032i | −0.445715 | − | 0.167133i | ||||
\(298\) | 19.2031 | − | 4.08174i | 1.11240 | − | 0.236449i | ||||
\(299\) | 2.85463 | + | 6.41160i | 0.165087 | + | 0.370792i | ||||
\(300\) | 5.85817 | + | 7.19606i | 0.338222 | + | 0.415465i | ||||
\(301\) | 9.11931 | − | 0.958478i | 0.525628 | − | 0.0552458i | ||||
\(302\) | 9.77166 | − | 7.09953i | 0.562296 | − | 0.408532i | ||||
\(303\) | 15.2756 | + | 2.37888i | 0.877559 | + | 0.136663i | ||||
\(304\) | −2.63339 | − | 4.56116i | −0.151035 | − | 0.261601i | ||||
\(305\) | −9.15065 | + | 15.8494i | −0.523965 | + | 0.907534i | ||||
\(306\) | −9.62829 | + | 10.8053i | −0.550413 | + | 0.617699i | ||||
\(307\) | −12.5264 | + | 13.9120i | −0.714919 | + | 0.793998i | −0.985676 | − | 0.168650i | \(-0.946059\pi\) |
0.270757 | + | 0.962648i | \(0.412726\pi\) | |||||||
\(308\) | −0.331074 | + | 1.01894i | −0.0188647 | + | 0.0580595i | ||||
\(309\) | 23.8317 | + | 1.18709i | 1.35574 | + | 0.0675314i | ||||
\(310\) | −12.9783 | + | 21.2756i | −0.737119 | + | 1.20837i | ||||
\(311\) | − | 23.1382i | − | 1.31205i | −0.754740 | − | 0.656024i | \(-0.772237\pi\) | ||
0.754740 | − | 0.656024i | \(-0.227763\pi\) | |||||||
\(312\) | 10.2227 | − | 26.8384i | 0.578744 | − | 1.51943i | ||||
\(313\) | −2.87354 | − | 2.58735i | −0.162422 | − | 0.146245i | 0.583912 | − | 0.811817i | \(-0.301521\pi\) |
−0.746334 | + | 0.665571i | \(0.768188\pi\) | |||||||
\(314\) | 9.02981 | − | 12.4285i | 0.509582 | − | 0.701379i | ||||
\(315\) | 10.6345 | + | 7.64258i | 0.599186 | + | 0.430611i | ||||
\(316\) | −2.31102 | + | 1.33427i | −0.130005 | + | 0.0750583i | ||||
\(317\) | −16.1318 | − | 1.69553i | −0.906055 | − | 0.0952302i | −0.359974 | − | 0.932963i | \(-0.617214\pi\) |
−0.546081 | + | 0.837732i | \(0.683881\pi\) | |||||||
\(318\) | −9.99239 | − | 15.3000i | −0.560345 | − | 0.857984i | ||||
\(319\) | 0.152483 | + | 1.45078i | 0.00853743 | + | 0.0812282i | ||||
\(320\) | −24.5263 | + | 22.0836i | −1.37106 | + | 1.23451i | ||||
\(321\) | −7.85268 | − | 20.2997i | −0.438294 | − | 1.13302i | ||||
\(322\) | −0.373446 | − | 1.75693i | −0.0208113 | − | 0.0979096i | ||||
\(323\) | −8.39753 | − | 1.78495i | −0.467251 | − | 0.0993172i | ||||
\(324\) | 4.29092 | + | 3.05014i | 0.238384 | + | 0.169452i | ||||
\(325\) | 46.9689 | − | 15.2611i | 2.60537 | − | 0.846535i | ||||
\(326\) | −14.7864 | + | 4.80440i | −0.818945 | + | 0.266091i | ||||
\(327\) | −15.6109 | − | 7.90331i | −0.863285 | − | 0.437054i | ||||
\(328\) | −11.1086 | − | 2.36121i | −0.613371 | − | 0.130376i | ||||
\(329\) | −1.82436 | − | 8.58294i | −0.100580 | − | 0.473193i | ||||
\(330\) | 11.4155 | − | 4.41597i | 0.628405 | − | 0.243091i | ||||
\(331\) | −6.97956 | + | 6.28442i | −0.383631 | + | 0.345423i | −0.838272 | − | 0.545252i | \(-0.816434\pi\) |
0.454641 | + | 0.890675i | \(0.349767\pi\) | |||||||
\(332\) | 0.314079 | + | 2.98826i | 0.0172373 | + | 0.164002i | ||||
\(333\) | 13.9523 | + | 23.8796i | 0.764579 | + | 1.30859i | ||||
\(334\) | 16.9022 | + | 1.77649i | 0.924845 | + | 0.0972051i | ||||
\(335\) | 12.2426 | − | 7.06827i | 0.668885 | − | 0.386181i | ||||
\(336\) | −2.71191 | + | 4.19975i | −0.147947 | + | 0.229115i | ||||
\(337\) | −6.47827 | + | 8.91658i | −0.352894 | + | 0.485717i | −0.948152 | − | 0.317818i | \(-0.897050\pi\) |
0.595258 | + | 0.803535i | \(0.297050\pi\) | |||||||
\(338\) | −14.2125 | − | 12.7970i | −0.773060 | − | 0.696066i | ||||
\(339\) | 9.92256 | + | 3.77947i | 0.538920 | + | 0.205272i | ||||
\(340\) | 8.92624i | 0.484094i | ||||||||
\(341\) | −5.72240 | − | 6.67257i | −0.309885 | − | 0.361340i | ||||
\(342\) | 0.750753 | − | 7.51722i | 0.0405961 | − | 0.406485i | ||||
\(343\) | −4.53646 | + | 13.9618i | −0.244946 | + | 0.753866i | ||||
\(344\) | −16.2627 | + | 18.0616i | −0.876827 | + | 0.973815i | ||||
\(345\) | 5.32119 | − | 6.60603i | 0.286483 | − | 0.355657i | ||||
\(346\) | 3.22750 | − | 5.59019i | 0.173511 | − | 0.300530i | ||||
\(347\) | −12.1402 | − | 21.0275i | −0.651722 | − | 1.12882i | −0.982705 | − | 0.185179i | \(-0.940713\pi\) |
0.330983 | − | 0.943637i | \(-0.392620\pi\) | |||||||
\(348\) | 0.144051 | − | 0.924998i | 0.00772194 | − | 0.0495851i | ||||
\(349\) | 14.6202 | − | 10.6222i | 0.782602 | − | 0.568594i | −0.123156 | − | 0.992387i | \(-0.539302\pi\) |
0.905759 | + | 0.423793i | \(0.139302\pi\) | |||||||
\(350\) | −12.5699 | + | 1.32115i | −0.671888 | + | 0.0706183i | ||||
\(351\) | 23.3798 | − | 15.4425i | 1.24792 | − | 0.824261i | ||||
\(352\) | −2.04867 | − | 4.60140i | −0.109195 | − | 0.245255i | ||||
\(353\) | 19.9436 | − | 4.23914i | 1.06149 | − | 0.225627i | 0.356102 | − | 0.934447i | \(-0.384106\pi\) |
0.705389 | + | 0.708820i | \(0.250772\pi\) | |||||||
\(354\) | 20.7619 | + | 5.50556i | 1.10348 | + | 0.292617i | ||||
\(355\) | 27.2972 | + | 12.1535i | 1.44879 | + | 0.645041i | ||||
\(356\) | −0.450380 | − | 1.38613i | −0.0238701 | − | 0.0734646i | ||||
\(357\) | 2.12950 | + | 7.86587i | 0.112705 | + | 0.416306i | ||||
\(358\) | 0.289666 | − | 0.650600i | 0.0153093 | − | 0.0343853i | ||||
\(359\) | 2.68755 | − | 12.6439i | 0.141843 | − | 0.667321i | −0.848558 | − | 0.529102i | \(-0.822529\pi\) |
0.990402 | − | 0.138219i | \(-0.0441378\pi\) | |||||||
\(360\) | −34.5017 | + | 3.80703i | −1.81840 | + | 0.200648i | ||||
\(361\) | −13.2634 | + | 5.90526i | −0.698075 | + | 0.310803i | ||||
\(362\) | 2.57798 | + | 2.86314i | 0.135496 | + | 0.150483i | ||||
\(363\) | −0.809289 | − | 14.7131i | −0.0424766 | − | 0.772237i | ||||
\(364\) | −2.15088 | − | 2.96043i | −0.112737 | − | 0.155169i | ||||
\(365\) | −0.865338 | + | 8.23314i | −0.0452939 | + | 0.430942i | ||||
\(366\) | −4.57263 | − | 8.91714i | −0.239015 | − | 0.466106i | ||||
\(367\) | 25.2920 | + | 14.6023i | 1.32023 | + | 0.762236i | 0.983765 | − | 0.179459i | \(-0.0574348\pi\) |
0.336466 | + | 0.941695i | \(0.390768\pi\) | |||||||
\(368\) | 2.61973 | + | 1.90335i | 0.136563 | + | 0.0992188i | ||||
\(369\) | −7.45650 | − | 8.19553i | −0.388170 | − | 0.426642i | ||||
\(370\) | −39.2449 | − | 12.7514i | −2.04024 | − | 0.662915i | ||||
\(371\) | −10.2894 | −0.534199 | ||||||||
\(372\) | 2.45203 | + | 5.08024i | 0.127132 | + | 0.263398i | ||||
\(373\) | −26.5286 | −1.37360 | −0.686800 | − | 0.726847i | \(-0.740985\pi\) | ||||
−0.686800 | + | 0.726847i | \(0.740985\pi\) | |||||||
\(374\) | 7.24363 | + | 2.35360i | 0.374559 | + | 0.121702i | ||||
\(375\) | −19.2141 | − | 19.1149i | −0.992213 | − | 0.987087i | ||||
\(376\) | 18.8159 | + | 13.6705i | 0.970354 | + | 0.705004i | ||||
\(377\) | −4.31493 | − | 2.49122i | −0.222230 | − | 0.128305i | ||||
\(378\) | −6.67441 | + | 2.62173i | −0.343295 | + | 0.134847i | ||||
\(379\) | −0.781797 | + | 7.43830i | −0.0401582 | + | 0.382080i | 0.955922 | + | 0.293622i | \(0.0948606\pi\) |
−0.996080 | + | 0.0884581i | \(0.971806\pi\) | |||||||
\(380\) | −2.73874 | − | 3.76955i | −0.140494 | − | 0.193374i | ||||
\(381\) | −30.5441 | + | 1.68007i | −1.56482 | + | 0.0860724i | ||||
\(382\) | 1.67848 | + | 1.86414i | 0.0858784 | + | 0.0953776i | ||||
\(383\) | 4.60563 | − | 2.05056i | 0.235336 | − | 0.104779i | −0.285680 | − | 0.958325i | \(-0.592220\pi\) |
0.521017 | + | 0.853546i | \(0.325553\pi\) | |||||||
\(384\) | −1.11610 | − | 6.93057i | −0.0569556 | − | 0.353674i | ||||
\(385\) | 1.43289 | − | 6.74123i | 0.0730270 | − | 0.343565i | ||||
\(386\) | −1.75598 | + | 3.94399i | −0.0893769 | + | 0.200744i | ||||
\(387\) | −23.1679 | + | 5.05002i | −1.17769 | + | 0.256707i | ||||
\(388\) | −1.93270 | − | 5.94824i | −0.0981181 | − | 0.301976i | ||||
\(389\) | 9.56419 | + | 4.25825i | 0.484924 | + | 0.215902i | 0.634612 | − | 0.772831i | \(-0.281160\pi\) |
−0.149688 | + | 0.988733i | \(0.547827\pi\) | |||||||
\(390\) | −10.7155 | + | 40.4089i | −0.542598 | + | 2.04618i | ||||
\(391\) | 5.16304 | − | 1.09744i | 0.261106 | − | 0.0554999i | ||||
\(392\) | −7.07158 | − | 15.8830i | −0.357169 | − | 0.802214i | ||||
\(393\) | −3.62796 | + | 2.95345i | −0.183006 | + | 0.148982i | ||||
\(394\) | −2.83710 | + | 0.298191i | −0.142931 | + | 0.0150226i | ||||
\(395\) | 13.8874 | − | 10.0898i | 0.698753 | − | 0.507674i | ||||
\(396\) | 0.561980 | − | 2.71292i | 0.0282406 | − | 0.136329i | ||||
\(397\) | 7.43511 | + | 12.8780i | 0.373157 | + | 0.646328i | 0.990049 | − | 0.140720i | \(-0.0449418\pi\) |
−0.616892 | + | 0.787048i | \(0.711608\pi\) | |||||||
\(398\) | 5.74124 | − | 9.94411i | 0.287782 | − | 0.498453i | ||||
\(399\) | −3.31268 | − | 2.66838i | −0.165842 | − | 0.133586i | ||||
\(400\) | 15.2468 | − | 16.9333i | 0.762339 | − | 0.846663i | ||||
\(401\) | −10.9221 | + | 33.6149i | −0.545426 | + | 1.67865i | 0.174550 | + | 0.984648i | \(0.444153\pi\) |
−0.719976 | + | 0.693999i | \(0.755847\pi\) | |||||||
\(402\) | −0.385100 | + | 7.73112i | −0.0192070 | + | 0.385593i | ||||
\(403\) | 29.9258 | − | 2.41641i | 1.49071 | − | 0.120370i | ||||
\(404\) | 5.22105i | 0.259757i | ||||||||
\(405\) | −29.5018 | − | 16.6279i | −1.46596 | − | 0.826246i | ||||
\(406\) | 0.947609 | + | 0.853231i | 0.0470290 | + | 0.0423451i | ||||
\(407\) | 8.55502 | − | 11.7750i | 0.424057 | − | 0.583664i | ||||
\(408\) | −18.1451 | − | 11.7169i | −0.898318 | − | 0.580073i | ||||
\(409\) | −5.95500 | + | 3.43812i | −0.294456 | + | 0.170004i | −0.639950 | − | 0.768417i | \(-0.721045\pi\) |
0.345494 | + | 0.938421i | \(0.387711\pi\) | |||||||
\(410\) | 16.4410 | + | 1.72802i | 0.811963 | + | 0.0853407i | ||||
\(411\) | −2.17366 | + | 1.41961i | −0.107219 | + | 0.0700241i | ||||
\(412\) | 0.842333 | + | 8.01426i | 0.0414988 | + | 0.394834i | ||||
\(413\) | 8.98781 | − | 8.09266i | 0.442261 | − | 0.398214i | ||||
\(414\) | 1.45818 | + | 4.40997i | 0.0716656 | + | 0.216738i | ||||
\(415\) | −4.01861 | − | 18.9061i | −0.197266 | − | 0.928062i | ||||
\(416\) | 16.8275 | + | 3.57679i | 0.825035 | + | 0.175367i | ||||
\(417\) | −7.89221 | + | 15.5890i | −0.386483 | + | 0.763396i | ||||
\(418\) | −3.78111 | + | 1.22856i | −0.184940 | + | 0.0600907i | ||||
\(419\) | 27.2477 | − | 8.85330i | 1.33113 | − | 0.432512i | 0.444830 | − | 0.895615i | \(-0.353264\pi\) |
0.886305 | + | 0.463103i | \(0.153264\pi\) | |||||||
\(420\) | −1.99767 | + | 3.94587i | −0.0974762 | + | 0.192539i | ||||
\(421\) | 7.34131 | + | 1.56044i | 0.357793 | + | 0.0760513i | 0.383302 | − | 0.923623i | \(-0.374787\pi\) |
−0.0255081 | + | 0.999675i | \(0.508120\pi\) | |||||||
\(422\) | −1.06573 | − | 5.01387i | −0.0518790 | − | 0.244072i | ||||
\(423\) | 7.12351 | + | 21.5436i | 0.346357 | + | 1.04749i | ||||
\(424\) | 20.2674 | − | 18.2489i | 0.984273 | − | 0.886243i | ||||
\(425\) | −3.88243 | − | 36.9389i | −0.188326 | − | 1.79180i | ||||
\(426\) | −13.6989 | + | 8.94666i | −0.663712 | + | 0.433467i | ||||
\(427\) | −5.61164 | − | 0.589808i | −0.271566 | − | 0.0285428i | ||||
\(428\) | 6.36587 | − | 3.67534i | 0.307706 | − | 0.177654i | ||||
\(429\) | −12.3874 | − | 7.99892i | −0.598067 | − | 0.386191i | ||||
\(430\) | 20.7950 | − | 28.6219i | 1.00282 | − | 1.38027i | ||||
\(431\) | 28.3644 | + | 25.5394i | 1.36627 | + | 1.23019i | 0.946559 | + | 0.322531i | \(0.104534\pi\) |
0.419706 | + | 0.907660i | \(0.362133\pi\) | |||||||
\(432\) | 5.77940 | − | 11.5639i | 0.278062 | − | 0.556369i | ||||
\(433\) | − | 12.8928i | − | 0.619589i | −0.950804 | − | 0.309794i | \(-0.899740\pi\) | ||
0.950804 | − | 0.309794i | \(-0.100260\pi\) | |||||||
\(434\) | −7.61998 | − | 0.987443i | −0.365771 | − | 0.0473988i | ||||
\(435\) | −0.299591 | + | 6.01448i | −0.0143643 | + | 0.288372i | ||||
\(436\) | 1.82606 | − | 5.62004i | 0.0874525 | − | 0.269151i | ||||
\(437\) | −1.84364 | + | 2.04757i | −0.0881931 | + | 0.0979484i | ||||
\(438\) | −3.53020 | − | 2.84359i | −0.168679 | − | 0.135872i | ||||
\(439\) | −6.69314 | + | 11.5929i | −0.319446 | + | 0.553297i | −0.980373 | − | 0.197154i | \(-0.936830\pi\) |
0.660926 | + | 0.750451i | \(0.270164\pi\) | |||||||
\(440\) | 9.13355 | + | 15.8198i | 0.435425 | + | 0.754178i | ||||
\(441\) | 3.44070 | − | 16.6097i | 0.163843 | − | 0.790940i | ||||
\(442\) | −21.0457 | + | 15.2906i | −1.00104 | + | 0.727298i | ||||
\(443\) | −36.1618 | + | 3.80076i | −1.71810 | + | 0.180580i | −0.911719 | − | 0.410815i | \(-0.865244\pi\) |
−0.806382 | + | 0.591395i | \(0.798578\pi\) | |||||||
\(444\) | −7.24350 | + | 5.89679i | −0.343761 | + | 0.279849i | ||||
\(445\) | 3.81331 | + | 8.56484i | 0.180768 | + | 0.406013i | ||||
\(446\) | 7.92847 | − | 1.68525i | 0.375424 | − | 0.0797988i | ||||
\(447\) | −7.32686 | + | 27.6302i | −0.346549 | + | 1.30686i | ||||
\(448\) | −9.29569 | − | 4.13871i | −0.439180 | − | 0.195536i | ||||
\(449\) | 0.663659 | + | 2.04253i | 0.0313200 | + | 0.0963931i | 0.965495 | − | 0.260423i | \(-0.0838622\pi\) |
−0.934175 | + | 0.356816i | \(0.883862\pi\) | |||||||
\(450\) | 31.9341 | − | 6.96085i | 1.50539 | − | 0.328138i | ||||
\(451\) | −2.37166 | + | 5.32684i | −0.111677 | + | 0.250831i | ||||
\(452\) | −0.745552 | + | 3.50754i | −0.0350678 | + | 0.164981i | ||||
\(453\) | 2.79614 | + | 17.3630i | 0.131374 | + | 0.815786i | ||||
\(454\) | −5.92737 | + | 2.63903i | −0.278185 | + | 0.123856i | ||||
\(455\) | 15.7507 | + | 17.4929i | 0.738405 | + | 0.820082i | ||||
\(456\) | 11.2577 | − | 0.619223i | 0.527188 | − | 0.0289978i | ||||
\(457\) | −22.6609 | − | 31.1900i | −1.06003 | − | 1.45901i | −0.879777 | − | 0.475387i | \(-0.842308\pi\) |
−0.180254 | − | 0.983620i | \(-0.557692\pi\) | |||||||
\(458\) | −2.52802 | + | 24.0525i | −0.118127 | + | 1.12390i | ||||
\(459\) | −7.70444 | − | 19.6140i | −0.359612 | − | 0.915501i | ||||
\(460\) | 2.48094 | + | 1.43237i | 0.115675 | + | 0.0667848i | ||||
\(461\) | 4.48062 | + | 3.25536i | 0.208683 | + | 0.151617i | 0.687218 | − | 0.726451i | \(-0.258832\pi\) |
−0.478534 | + | 0.878069i | \(0.658832\pi\) | |||||||
\(462\) | 2.67534 | + | 2.66152i | 0.124468 | + | 0.123825i | ||||
\(463\) | 30.0642 | + | 9.76847i | 1.39720 | + | 0.453979i | 0.908286 | − | 0.418350i | \(-0.137392\pi\) |
0.488918 | + | 0.872330i | \(0.337392\pi\) | |||||||
\(464\) | −2.29883 | −0.106720 | ||||||||
\(465\) | −19.1027 | − | 30.8518i | −0.885866 | − | 1.43072i | ||||
\(466\) | −10.9673 | −0.508051 | ||||||||
\(467\) | −13.6624 | − | 4.43919i | −0.632222 | − | 0.205421i | −0.0246628 | − | 0.999696i | \(-0.507851\pi\) |
−0.607559 | + | 0.794274i | \(0.707851\pi\) | |||||||
\(468\) | 6.36812 | + | 6.99927i | 0.294366 | + | 0.323542i | ||||
\(469\) | 3.52610 | + | 2.56186i | 0.162820 | + | 0.118296i | ||||
\(470\) | −29.3194 | − | 16.9276i | −1.35240 | − | 0.780810i | ||||
\(471\) | 10.2066 | + | 19.9040i | 0.470296 | + | 0.917128i | ||||
\(472\) | −3.35081 | + | 31.8808i | −0.154234 | + | 1.46743i | ||||
\(473\) | 7.33474 | + | 10.0954i | 0.337252 | + | 0.464187i | ||||
\(474\) | 0.516232 | + | 9.38525i | 0.0237113 | + | 0.431079i | ||||
\(475\) | 12.9731 | + | 14.4081i | 0.595246 | + | 0.661088i | ||||
\(476\) | −2.51416 | + | 1.11938i | −0.115236 | + | 0.0513065i | ||||
\(477\) | 26.4472 | − | 2.91827i | 1.21094 | − | 0.133618i | ||||
\(478\) | 1.08468 | − | 5.10301i | 0.0496120 | − | 0.233406i | ||||
\(479\) | −4.68489 | + | 10.5224i | −0.214058 | + | 0.480783i | −0.988379 | − | 0.152011i | \(-0.951425\pi\) |
0.774321 | + | 0.632794i | \(0.218092\pi\) | |||||||
\(480\) | −5.43350 | − | 20.0701i | −0.248004 | − | 0.916069i | ||||
\(481\) | 15.3617 | + | 47.2785i | 0.700434 | + | 2.15571i | ||||
\(482\) | 11.0373 | + | 4.91412i | 0.502735 | + | 0.223832i | ||||
\(483\) | 2.52794 | + | 0.670349i | 0.115025 | + | 0.0305019i | ||||
\(484\) | 4.86767 | − | 1.03466i | 0.221258 | − | 0.0470298i | ||||
\(485\) | 16.3639 | + | 36.7540i | 0.743049 | + | 1.66891i | ||||
\(486\) | 16.4119 | − | 8.63173i | 0.744459 | − | 0.391543i | ||||
\(487\) | 6.00968 | − | 0.631643i | 0.272325 | − | 0.0286225i | 0.0326182 | − | 0.999468i | \(-0.489615\pi\) |
0.239706 | + | 0.970845i | \(0.422949\pi\) | |||||||
\(488\) | 12.0995 | − | 8.79082i | 0.547720 | − | 0.397942i | ||||
\(489\) | 3.48340 | − | 22.3680i | 0.157525 | − | 1.01152i | ||||
\(490\) | 12.6541 | + | 21.9175i | 0.571653 | + | 0.990133i | ||||
\(491\) | −19.6959 | + | 34.1143i | −0.888864 | + | 1.53956i | −0.0476440 | + | 0.998864i | \(0.515171\pi\) |
−0.841220 | + | 0.540693i | \(0.818162\pi\) | |||||||
\(492\) | 2.34734 | − | 2.91411i | 0.105826 | − | 0.131378i | ||||
\(493\) | −2.50737 | + | 2.78472i | −0.112926 | + | 0.125417i | ||||
\(494\) | 4.19614 | − | 12.9144i | 0.188793 | − | 0.581047i | ||||
\(495\) | −1.77108 | + | 17.7336i | −0.0796039 | + | 0.797067i | ||||
\(496\) | 11.4000 | − | 7.86919i | 0.511877 | − | 0.353337i | ||||
\(497\) | 9.21259i | 0.413241i | ||||||||
\(498\) | 9.89043 | + | 3.76723i | 0.443201 | + | 0.168813i | ||||
\(499\) | −1.64665 | − | 1.48265i | −0.0737142 | − | 0.0663726i | 0.631450 | − | 0.775417i | \(-0.282460\pi\) |
−0.705164 | + | 0.709044i | \(0.749127\pi\) | |||||||
\(500\) | 5.38008 | − | 7.40505i | 0.240605 | − | 0.331164i | ||||
\(501\) | −13.4238 | + | 20.7884i | −0.599729 | + | 0.928759i | ||||
\(502\) | 4.44798 | − | 2.56804i | 0.198523 | − | 0.114617i | ||||
\(503\) | −32.0705 | − | 3.37075i | −1.42995 | − | 0.150294i | −0.642320 | − | 0.766437i | \(-0.722028\pi\) |
−0.787635 | + | 0.616143i | \(0.788694\pi\) | |||||||
\(504\) | −5.39890 | − | 9.24032i | −0.240486 | − | 0.411596i | ||||
\(505\) | −3.51063 | − | 33.4014i | −0.156221 | − | 1.48634i | ||||
\(506\) | 1.81652 | − | 1.63560i | 0.0807543 | − | 0.0727115i | ||||
\(507\) | 25.9711 | − | 10.0466i | 1.15342 | − | 0.446186i | ||||
\(508\) | −2.14792 | − | 10.1052i | −0.0952987 | − | 0.448345i | ||||
\(509\) | −5.32357 | − | 1.13156i | −0.235963 | − | 0.0501555i | 0.0884121 | − | 0.996084i | \(-0.471821\pi\) |
−0.324375 | + | 0.945928i | \(0.605154\pi\) | |||||||
\(510\) | 28.0511 | + | 14.2014i | 1.24212 | + | 0.628848i | ||||
\(511\) | −2.42745 | + | 0.788728i | −0.107384 | + | 0.0348913i | ||||
\(512\) | 22.1006 | − | 7.18093i | 0.976719 | − | 0.317355i | ||||
\(513\) | 9.27152 | + | 5.91911i | 0.409347 | + | 0.261335i | ||||
\(514\) | 32.1410 | + | 6.83178i | 1.41768 | + | 0.301337i | ||||
\(515\) | −10.7776 | − | 50.7044i | −0.474916 | − | 2.23430i | ||||
\(516\) | −2.88915 | − | 7.46862i | −0.127188 | − | 0.328788i | ||||
\(517\) | 8.87409 | − | 7.99027i | 0.390282 | − | 0.351412i | ||||
\(518\) | −1.32986 | − | 12.6527i | −0.0584305 | − | 0.555929i | ||||
\(519\) | 5.13932 | + | 7.86918i | 0.225591 | + | 0.345418i | ||||
\(520\) | −62.0496 | − | 6.52167i | −2.72105 | − | 0.285994i | ||||
\(521\) | −15.7757 | + | 9.10813i | −0.691148 | + | 0.399034i | −0.804042 | − | 0.594573i | \(-0.797321\pi\) |
0.112894 | + | 0.993607i | \(0.463988\pi\) | |||||||
\(522\) | −2.67767 | − | 1.92433i | −0.117198 | − | 0.0842257i | ||||
\(523\) | 20.8880 | − | 28.7498i | 0.913368 | − | 1.25714i | −0.0526358 | − | 0.998614i | \(-0.516762\pi\) |
0.966003 | − | 0.258529i | \(-0.0832378\pi\) | |||||||
\(524\) | −1.17409 | − | 1.05716i | −0.0512905 | − | 0.0461822i | ||||
\(525\) | 6.55058 | − | 17.1978i | 0.285891 | − | 0.750574i | ||||
\(526\) | 22.4573i | 0.979186i | ||||||||
\(527\) | 2.90178 | − | 22.3927i | 0.126404 | − | 0.975441i | ||||
\(528\) | −6.79492 | − | 0.338466i | −0.295711 | − | 0.0147298i | ||||
\(529\) | −6.58391 | + | 20.2632i | −0.286257 | + | 0.881008i | ||||
\(530\) | −26.5640 | + | 29.5023i | −1.15387 | + | 1.28150i | ||||
\(531\) | −20.8065 | + | 23.3500i | −0.902924 | + | 1.01330i | ||||
\(532\) | 0.718283 | − | 1.24410i | 0.0311415 | − | 0.0539387i | ||||
\(533\) | −9.95782 | − | 17.2475i | −0.431321 | − | 0.747070i | ||||
\(534\) | −5.07251 | − | 0.789948i | −0.219509 | − | 0.0341844i | ||||
\(535\) | −38.2540 | + | 27.7932i | −1.65387 | + | 1.20160i | ||||
\(536\) | −11.4891 | + | 1.20755i | −0.496254 | + | 0.0521584i | ||||
\(537\) | 0.654659 | + | 0.804170i | 0.0282506 | + | 0.0347025i | ||||
\(538\) | −13.3850 | − | 30.0632i | −0.577069 | − | 1.29612i | ||||
\(539\) | −8.73155 | + | 1.85595i | −0.376094 | + | 0.0799413i | ||||
\(540\) | 4.01556 | − | 10.7088i | 0.172802 | − | 0.460833i | ||||
\(541\) | −24.1718 | − | 10.7620i | −1.03923 | − | 0.462694i | −0.185079 | − | 0.982724i | \(-0.559254\pi\) |
−0.854148 | + | 0.520030i | \(0.825921\pi\) | |||||||
\(542\) | −1.77970 | − | 5.47736i | −0.0764447 | − | 0.235273i | ||||
\(543\) | −5.41483 | + | 1.46594i | −0.232372 | + | 0.0629094i | ||||
\(544\) | 5.26251 | − | 11.8198i | 0.225628 | − | 0.506769i | ||||
\(545\) | −7.90322 | + | 37.1817i | −0.338537 | + | 1.59269i | ||||
\(546\) | −12.7253 | + | 2.04928i | −0.544591 | + | 0.0877009i | ||||
\(547\) | 16.1841 | − | 7.20564i | 0.691984 | − | 0.308091i | −0.0304449 | − | 0.999536i | \(-0.509692\pi\) |
0.722429 | + | 0.691445i | \(0.243026\pi\) | |||||||
\(548\) | −0.586679 | − | 0.651573i | −0.0250617 | − | 0.0278338i | ||||
\(549\) | 14.5911 | − | 0.0755649i | 0.622733 | − | 0.00322503i | ||||
\(550\) | −10.1101 | − | 13.9153i | −0.431095 | − | 0.593351i | ||||
\(551\) | 0.204459 | − | 1.94530i | 0.00871024 | − | 0.0828724i | ||||
\(552\) | −6.16828 | + | 3.16304i | −0.262539 | + | 0.134628i | ||||
\(553\) | 4.58341 | + | 2.64623i | 0.194906 | + | 0.112529i | ||||
\(554\) | −27.0446 | − | 19.6491i | −1.14902 | − | 0.834810i | ||||
\(555\) | 42.3749 | − | 42.5949i | 1.79871 | − | 1.80805i | ||||
\(556\) | −5.61215 | − | 1.82350i | −0.238008 | − | 0.0773335i | ||||
\(557\) | 41.1621 | 1.74410 | 0.872048 | − | 0.489421i | \(-0.162792\pi\) | ||||
0.872048 | + | 0.489421i | \(0.162792\pi\) | |||||||
\(558\) | 19.8660 | + | 0.376890i | 0.840994 | + | 0.0159550i | ||||
\(559\) | −42.6207 | −1.80267 | ||||||||
\(560\) | 10.3290 | + | 3.35610i | 0.436481 | + | 0.141821i | ||||
\(561\) | −7.82135 | + | 7.86196i | −0.330218 | + | 0.331932i | ||||
\(562\) | 3.34007 | + | 2.42670i | 0.140892 | + | 0.102364i | ||||
\(563\) | 12.5443 | + | 7.24244i | 0.528678 | + | 0.305232i | 0.740478 | − | 0.672081i | \(-0.234599\pi\) |
−0.211800 | + | 0.977313i | \(0.567933\pi\) | |||||||
\(564\) | −6.81887 | + | 3.49666i | −0.287126 | + | 0.147236i | ||||
\(565\) | 2.41116 | − | 22.9406i | 0.101438 | − | 0.965120i | ||||
\(566\) | −16.1511 | − | 22.2301i | −0.678883 | − | 0.934402i | ||||
\(567\) | 0.983782 | − | 10.3946i | 0.0413150 | − | 0.436534i | ||||
\(568\) | −16.3391 | − | 18.1464i | −0.685572 | − | 0.761405i | ||||
\(569\) | 23.1127 | − | 10.2904i | 0.968933 | − | 0.431397i | 0.139635 | − | 0.990203i | \(-0.455407\pi\) |
0.829298 | + | 0.558806i | \(0.188741\pi\) | |||||||
\(570\) | −16.2032 | + | 2.60937i | −0.678679 | + | 0.109294i | ||||
\(571\) | −0.416666 | + | 1.96026i | −0.0174369 | + | 0.0820343i | −0.986006 | − | 0.166712i | \(-0.946685\pi\) |
0.968569 | + | 0.248746i | \(0.0800184\pi\) | |||||||
\(572\) | 2.02549 | − | 4.54931i | 0.0846898 | − | 0.190216i | ||||
\(573\) | −3.52549 | + | 0.954444i | −0.147280 | + | 0.0398725i | ||||
\(574\) | 1.57503 | + | 4.84745i | 0.0657406 | + | 0.202329i | ||||
\(575\) | −10.8897 | − | 4.84842i | −0.454133 | − | 0.202193i | ||||
\(576\) | 25.0669 | + | 8.00144i | 1.04445 | + | 0.333393i | ||||
\(577\) | −21.9391 | + | 4.66330i | −0.913337 | + | 0.194136i | −0.640530 | − | 0.767933i | \(-0.721285\pi\) |
−0.272807 | + | 0.962069i | \(0.587952\pi\) | |||||||
\(578\) | −0.267617 | − | 0.601079i | −0.0111314 | − | 0.0250016i | ||||
\(579\) | −3.96860 | − | 4.87494i | −0.164929 | − | 0.202596i | ||||
\(580\) | −2.02259 | + | 0.212583i | −0.0839834 | + | 0.00882701i | ||||
\(581\) | 4.82112 | − | 3.50275i | 0.200014 | − | 0.145318i | ||||
\(582\) | −21.7675 | − | 3.38988i | −0.902292 | − | 0.140515i | ||||
\(583\) | −7.00130 | − | 12.1266i | −0.289964 | − | 0.502233i | ||||
\(584\) | 3.38259 | − | 5.85882i | 0.139973 | − | 0.242440i | ||||
\(585\) | −45.4460 | − | 40.4956i | −1.87896 | − | 1.67429i | ||||
\(586\) | −9.21926 | + | 10.2390i | −0.380844 | + | 0.422970i | ||||
\(587\) | 4.48610 | − | 13.8068i | 0.185161 | − | 0.569867i | −0.814790 | − | 0.579756i | \(-0.803148\pi\) |
0.999951 | + | 0.00988889i | \(0.00314778\pi\) | |||||||
\(588\) | 5.72143 | + | 0.284994i | 0.235948 | + | 0.0117529i | ||||
\(589\) | 5.64508 | + | 10.3468i | 0.232602 | + | 0.426331i | ||||
\(590\) | − | 46.6631i | − | 1.92109i | ||||||
\(591\) | 1.47850 | − | 3.88165i | 0.0608175 | − | 0.159670i | ||||
\(592\) | 17.0449 | + | 15.3473i | 0.700540 | + | 0.630769i | ||||
\(593\) | 7.22644 | − | 9.94634i | 0.296754 | − | 0.408447i | −0.634439 | − | 0.772973i | \(-0.718769\pi\) |
0.931193 | + | 0.364526i | \(0.118769\pi\) | |||||||
\(594\) | −7.63138 | − | 6.08222i | −0.313119 | − | 0.249557i | ||||
\(595\) | 15.3315 | − | 8.85166i | 0.628531 | − | 0.362883i | ||||
\(596\) | −9.60089 | − | 1.00909i | −0.393268 | − | 0.0413341i | ||||
\(597\) | 9.14209 | + | 13.9981i | 0.374161 | + | 0.572904i | ||||
\(598\) | 0.872684 | + | 8.30303i | 0.0356867 | + | 0.339536i | ||||
\(599\) | −1.16949 | + | 1.05302i | −0.0477843 | + | 0.0430251i | −0.692677 | − | 0.721248i | \(-0.743569\pi\) |
0.644893 | + | 0.764273i | \(0.276902\pi\) | |||||||
\(600\) | 17.5984 | + | 45.4930i | 0.718452 | + | 1.85724i | ||||
\(601\) | 6.58757 | + | 30.9921i | 0.268713 | + | 1.26419i | 0.880832 | + | 0.473428i | \(0.156984\pi\) |
−0.612120 | + | 0.790765i | \(0.709683\pi\) | |||||||
\(602\) | 10.6694 | + | 2.26784i | 0.434850 | + | 0.0924303i | ||||
\(603\) | −9.78986 | − | 5.58478i | −0.398674 | − | 0.227430i | ||||
\(604\) | −5.64870 | + | 1.83537i | −0.229842 | + | 0.0746802i | ||||
\(605\) | −30.4450 | + | 9.89217i | −1.23776 | + | 0.402174i | ||||
\(606\) | 16.4074 | + | 8.30653i | 0.666504 | + | 0.337430i | ||||
\(607\) | 6.49501 | + | 1.38056i | 0.263624 | + | 0.0560350i | 0.337827 | − | 0.941208i | \(-0.390308\pi\) |
−0.0742032 | + | 0.997243i | \(0.523641\pi\) | |||||||
\(608\) | 1.40418 | + | 6.60614i | 0.0569469 | + | 0.267914i | ||||
\(609\) | −1.73160 | + | 0.669850i | −0.0701681 | + | 0.0271437i | ||||
\(610\) | −16.1786 | + | 14.5673i | −0.655054 | + | 0.589813i | ||||
\(611\) | 4.26324 | + | 40.5620i | 0.172472 | + | 1.64096i | ||||
\(612\) | 6.14476 | − | 3.59023i | 0.248387 | − | 0.145127i | ||||
\(613\) | 29.1975 | + | 3.06878i | 1.17928 | + | 0.123947i | 0.673814 | − | 0.738901i | \(-0.264655\pi\) |
0.505463 | + | 0.862848i | \(0.331322\pi\) | |||||||
\(614\) | −19.2855 | + | 11.1345i | −0.778301 | + | 0.449353i | ||||
\(615\) | −13.0575 | + | 20.2212i | −0.526529 | + | 0.815399i | ||||
\(616\) | −3.31041 | + | 4.55639i | −0.133380 | + | 0.183582i | ||||
\(617\) | −17.0541 | − | 15.3556i | −0.686571 | − | 0.618192i | 0.250175 | − | 0.968201i | \(-0.419512\pi\) |
−0.936746 | + | 0.350009i | \(0.886178\pi\) | |||||||
\(618\) | 26.5253 | + | 10.1034i | 1.06700 | + | 0.406418i | ||||
\(619\) | − | 0.513624i | − | 0.0206443i | −0.999947 | − | 0.0103221i | \(-0.996714\pi\) | ||
0.999947 | − | 0.0103221i | \(-0.00328570\pi\) | |||||||
\(620\) | 9.30247 | − | 7.97780i | 0.373596 | − | 0.320396i | ||||
\(621\) | −6.68778 | − | 1.00605i | −0.268372 | − | 0.0403714i | ||||
\(622\) | 8.50547 | − | 26.1772i | 0.341038 | − | 1.04961i | ||||
\(623\) | −1.93417 | + | 2.14811i | −0.0774907 | + | 0.0860622i | ||||
\(624\) | 14.5766 | − | 18.0962i | 0.583531 | − | 0.724429i | ||||
\(625\) | −6.54324 | + | 11.3332i | −0.261730 | + | 0.453329i | ||||
\(626\) | −2.29985 | − | 3.98346i | −0.0919206 | − | 0.159211i | ||||
\(627\) | 0.890758 | − | 5.71984i | 0.0355734 | − | 0.228429i | ||||
\(628\) | −6.11151 | + | 4.44027i | −0.243876 | + | 0.177186i | ||||
\(629\) | 37.1824 | − | 3.90802i | 1.48256 | − | 0.155823i | ||||
\(630\) | 9.22185 | + | 12.5555i | 0.367407 | + | 0.500224i | ||||
\(631\) | 4.98255 | + | 11.1910i | 0.198352 | + | 0.445506i | 0.985148 | − | 0.171707i | \(-0.0549282\pi\) |
−0.786796 | + | 0.617213i | \(0.788262\pi\) | |||||||
\(632\) | −13.7214 | + | 2.91657i | −0.545807 | + | 0.116015i | ||||
\(633\) | 7.21418 | + | 1.91303i | 0.286738 | + | 0.0760360i | ||||
\(634\) | −17.6273 | − | 7.84818i | −0.700070 | − | 0.311691i | ||||
\(635\) | 20.5359 | + | 63.2031i | 0.814944 | + | 2.50814i | ||||
\(636\) | 2.34821 | + | 8.67373i | 0.0931125 | + | 0.343936i | ||||
\(637\) | 12.4010 | − | 27.8530i | 0.491344 | − | 1.10358i | ||||
\(638\) | −0.360789 | + | 1.69738i | −0.0142838 | + | 0.0671998i | ||||
\(639\) | −2.61287 | − | 23.6795i | −0.103363 | − | 0.936745i | ||||
\(640\) | −13.9318 | + | 6.20284i | −0.550703 | + | 0.245189i | ||||
\(641\) | 4.94245 | + | 5.48915i | 0.195215 | + | 0.216808i | 0.832803 | − | 0.553569i | \(-0.186734\pi\) |
−0.637588 | + | 0.770377i | \(0.720068\pi\) | |||||||
\(642\) | −1.42200 | − | 25.8524i | −0.0561219 | − | 1.02031i | ||||
\(643\) | 0.593177 | + | 0.816439i | 0.0233926 | + | 0.0321972i | 0.820553 | − | 0.571570i | \(-0.193666\pi\) |
−0.797160 | + | 0.603767i | \(0.793666\pi\) | |||||||
\(644\) | −0.0923240 | + | 0.878404i | −0.00363807 | + | 0.0346140i | ||||
\(645\) | 23.5051 | + | 45.8375i | 0.925511 | + | 1.80485i | ||||
\(646\) | −8.84431 | − | 5.10626i | −0.347975 | − | 0.200903i | ||||
\(647\) | −22.3539 | − | 16.2410i | −0.878821 | − | 0.638501i | 0.0541185 | − | 0.998535i | \(-0.482765\pi\) |
−0.932939 | + | 0.360034i | \(0.882765\pi\) | |||||||
\(648\) | 16.4977 | + | 22.2195i | 0.648091 | + | 0.872864i | ||||
\(649\) | 15.6533 | + | 5.08606i | 0.614445 | + | 0.199645i | ||||
\(650\) | 58.7476 | 2.30427 | ||||||||
\(651\) | 6.29416 | − | 9.24934i | 0.246688 | − | 0.362510i | ||||
\(652\) | 7.64519 | 0.299409 | ||||||||
\(653\) | −28.5427 | − | 9.27408i | −1.11696 | − | 0.362923i | −0.308354 | − | 0.951272i | \(-0.599778\pi\) |
−0.808607 | + | 0.588349i | \(0.799778\pi\) | |||||||
\(654\) | −14.7560 | − | 14.6798i | −0.577006 | − | 0.574025i | ||||
\(655\) | 8.22203 | + | 5.97366i | 0.321261 | + | 0.233410i | ||||
\(656\) | −7.95771 | − | 4.59439i | −0.310696 | − | 0.179381i | ||||
\(657\) | 6.01568 | − | 2.71577i | 0.234694 | − | 0.105952i | ||||
\(658\) | 1.09107 | − | 10.3808i | 0.0425343 | − | 0.404687i | ||||
\(659\) | 12.5455 | + | 17.2674i | 0.488702 | + | 0.672641i | 0.980148 | − | 0.198267i | \(-0.0635315\pi\) |
−0.491446 | + | 0.870908i | \(0.663531\pi\) | |||||||
\(660\) | −6.00971 | + | 0.330562i | −0.233928 | + | 0.0128671i | ||||
\(661\) | −13.8296 | − | 15.3593i | −0.537908 | − | 0.597407i | 0.411517 | − | 0.911402i | \(-0.364999\pi\) |
−0.949425 | + | 0.313995i | \(0.898332\pi\) | |||||||
\(662\) | −10.2064 | + | 4.54416i | −0.396681 | + | 0.176614i | ||||
\(663\) | −6.02217 | − | 37.3955i | −0.233882 | − | 1.45232i | ||||
\(664\) | −3.28400 | + | 15.4500i | −0.127444 | + | 0.599577i | ||||
\(665\) | −3.75865 | + | 8.44206i | −0.145754 | + | 0.327369i | ||||
\(666\) | 7.00674 | + | 32.1446i | 0.271506 | + | 1.24558i | ||||
\(667\) | 0.371628 | + | 1.14375i | 0.0143895 | + | 0.0442863i | ||||
\(668\) | −7.63465 | − | 3.39916i | −0.295393 | − | 0.131518i | ||||
\(669\) | −3.02508 | + | 11.4078i | −0.116956 | + | 0.441052i | ||||
\(670\) | 16.4488 | − | 3.49630i | 0.635472 | − | 0.135074i | ||||
\(671\) | −3.12326 | − | 7.01495i | −0.120572 | − | 0.270809i | ||||
\(672\) | 4.97154 | − | 4.04724i | 0.191781 | − | 0.156126i | ||||
\(673\) | −22.5759 | + | 2.37283i | −0.870238 | + | 0.0914657i | −0.529112 | − | 0.848552i | \(-0.677475\pi\) |
−0.341126 | + | 0.940018i | \(0.610808\pi\) | |||||||
\(674\) | −10.6068 | + | 7.70629i | −0.408559 | + | 0.296835i | ||||
\(675\) | −11.9596 | + | 46.0620i | −0.460324 | + | 1.77293i | ||||
\(676\) | 4.70218 | + | 8.14441i | 0.180853 | + | 0.313247i | ||||
\(677\) | 11.1447 | − | 19.3032i | 0.428325 | − | 0.741881i | −0.568399 | − | 0.822753i | \(-0.692437\pi\) |
0.996725 | + | 0.0808716i | \(0.0257704\pi\) | |||||||
\(678\) | 9.83647 | + | 7.92333i | 0.377767 | + | 0.304294i | ||||
\(679\) | −8.30002 | + | 9.21811i | −0.318526 | + | 0.353759i | ||||
\(680\) | −14.5001 | + | 44.6268i | −0.556055 | + | 1.71136i | ||||
\(681\) | 0.470001 | − | 9.43557i | 0.0180105 | − | 0.361572i | ||||
\(682\) | −4.02117 | − | 9.65245i | −0.153979 | − | 0.369611i | ||||
\(683\) | − | 10.0595i | − | 0.384917i | −0.981305 | − | 0.192459i | \(-0.938354\pi\) | ||
0.981305 | − | 0.192459i | \(-0.0616461\pi\) | |||||||
\(684\) | −1.49338 | + | 3.40148i | −0.0571008 | + | 0.130059i | ||||
\(685\) | 4.19137 | + | 3.77392i | 0.160144 | + | 0.144194i | ||||
\(686\) | −10.2646 | + | 14.1279i | −0.391902 | + | 0.539407i | ||||
\(687\) | −29.5829 | − | 19.1026i | −1.12866 | − | 0.728811i | ||||
\(688\) | −17.0300 | + | 9.83228i | −0.649263 | + | 0.374852i | ||||
\(689\) | 47.5640 | + | 4.99917i | 1.81204 | + | 0.190453i | ||||
\(690\) | 8.44841 | − | 5.51762i | 0.321625 | − | 0.210052i | ||||
\(691\) | −3.88931 | − | 37.0043i | −0.147956 | − | 1.40771i | −0.776588 | − | 0.630008i | \(-0.783051\pi\) |
0.628632 | − | 0.777703i | \(-0.283615\pi\) | |||||||
\(692\) | −2.35885 | + | 2.12392i | −0.0896700 | + | 0.0807392i | ||||
\(693\) | −5.21693 | + | 1.72501i | −0.198175 | + | 0.0655275i | ||||
\(694\) | −6.00513 | − | 28.2519i | −0.227952 | − | 1.07243i | ||||
\(695\) | 37.1295 | + | 7.89213i | 1.40840 | + | 0.299365i | ||||
\(696\) | 2.22278 | − | 4.39053i | 0.0842544 | − | 0.166423i | ||||
\(697\) | −14.2451 | + | 4.62852i | −0.539572 | + | 0.175318i | ||||
\(698\) | 20.4451 | − | 6.64301i | 0.773858 | − | 0.251442i | ||||
\(699\) | 7.21285 | − | 14.2471i | 0.272815 | − | 0.538875i | ||||
\(700\) | 6.07928 | + | 1.29219i | 0.229775 | + | 0.0488402i | ||||
\(701\) | −6.84460 | − | 32.2013i | −0.258517 | − | 1.21623i | −0.895399 | − | 0.445265i | \(-0.853109\pi\) |
0.636882 | − | 0.770961i | \(-0.280224\pi\) | |||||||
\(702\) | 32.1270 | − | 8.87646i | 1.21256 | − | 0.335020i | ||||
\(703\) | −14.5031 | + | 13.0586i | −0.546993 | + | 0.492515i | ||||
\(704\) | −1.44745 | − | 13.7716i | −0.0545530 | − | 0.519037i | ||||
\(705\) | 41.2722 | − | 26.9547i | 1.55440 | − | 1.01517i | ||||
\(706\) | 24.1213 | + | 2.53525i | 0.907815 | + | 0.0954152i | ||||
\(707\) | 8.96756 | − | 5.17742i | 0.337260 | − | 0.194717i | ||||
\(708\) | −8.87309 | − | 5.72964i | −0.333471 | − | 0.215333i | ||||
\(709\) | −10.5187 | + | 14.4777i | −0.395038 | + | 0.543723i | −0.959490 | − | 0.281743i | \(-0.909088\pi\) |
0.564452 | + | 0.825466i | \(0.309088\pi\) | |||||||
\(710\) | 26.4148 | + | 23.7840i | 0.991330 | + | 0.892598i | ||||
\(711\) | −12.5314 | − | 5.50177i | −0.469965 | − | 0.206332i | ||||
\(712\) | − | 7.66157i | − | 0.287129i | ||||||
\(713\) | −5.75815 | − | 4.39982i | −0.215644 | − | 0.164775i | ||||
\(714\) | −0.482264 | + | 9.68175i | −0.0180483 | + | 0.362330i | ||||
\(715\) | −9.89898 | + | 30.4659i | −0.370201 | + | 1.13936i | ||||
\(716\) | −0.234329 | + | 0.260249i | −0.00875728 | + | 0.00972595i | ||||
\(717\) | 5.91571 | + | 4.76514i | 0.220926 | + | 0.177957i | ||||
\(718\) | 7.68836 | − | 13.3166i | 0.286927 | − | 0.496972i | ||||
\(719\) | −3.67007 | − | 6.35676i | −0.136871 | − | 0.237067i | 0.789440 | − | 0.613828i | \(-0.210371\pi\) |
−0.926311 | + | 0.376761i | \(0.877038\pi\) | |||||||
\(720\) | −27.5009 | − | 5.69681i | −1.02490 | − | 0.212307i | ||||
\(721\) | 12.9298 | − | 9.39407i | 0.481532 | − | 0.349853i | ||||
\(722\) | −17.1762 | + | 1.80529i | −0.639231 | + | 0.0671859i | ||||
\(723\) | −13.6426 | + | 11.1062i | −0.507373 | + | 0.413042i | ||||
\(724\) | −0.770573 | − | 1.73073i | −0.0286381 | − | 0.0643222i | ||||
\(725\) | 8.27748 | − | 1.75943i | 0.307418 | − | 0.0653437i | ||||
\(726\) | 4.49287 | − | 16.9430i | 0.166746 | − | 0.628813i | ||||
\(727\) | 26.7877 | + | 11.9267i | 0.993501 | + | 0.442335i | 0.838100 | − | 0.545517i | \(-0.183666\pi\) |
0.155401 | + | 0.987852i | \(0.450333\pi\) | |||||||
\(728\) | −5.94429 | − | 18.2947i | −0.220310 | − | 0.678045i | ||||
\(729\) | 0.419465 | + | 26.9967i | 0.0155357 | + | 0.999879i | ||||
\(730\) | −4.00544 | + | 8.99637i | −0.148248 | + | 0.332971i | ||||
\(731\) | −6.66446 | + | 31.3538i | −0.246494 | + | 1.15966i | ||||
\(732\) | 0.783473 | + | 4.86509i | 0.0289580 | + | 0.179819i | ||||
\(733\) | 14.6521 | − | 6.52354i | 0.541188 | − | 0.240953i | −0.117890 | − | 0.993027i | \(-0.537613\pi\) |
0.659079 | + | 0.752074i | \(0.270946\pi\) | |||||||
\(734\) | 23.2461 | + | 25.8174i | 0.858028 | + | 0.952937i | ||||
\(735\) | −36.7942 | + | 2.02385i | −1.35717 | + | 0.0746509i | ||||
\(736\) | −2.44071 | − | 3.35935i | −0.0899657 | − | 0.123827i | ||||
\(737\) | −0.619998 | + | 5.89888i | −0.0228379 | + | 0.217288i | ||||
\(738\) | −5.42319 | − | 12.0129i | −0.199631 | − | 0.442200i | ||||
\(739\) | −5.25564 | − | 3.03434i | −0.193332 | − | 0.111620i | 0.400210 | − | 0.916424i | \(-0.368937\pi\) |
−0.593541 | + | 0.804803i | \(0.702271\pi\) | |||||||
\(740\) | 16.4159 | + | 11.9269i | 0.603461 | + | 0.438440i | ||||
\(741\) | 14.0168 | + | 13.9444i | 0.514920 | + | 0.512261i | ||||
\(742\) | −11.6408 | − | 3.78232i | −0.427347 | − | 0.138853i | ||||
\(743\) | −3.35772 | −0.123183 | −0.0615914 | − | 0.998101i | \(-0.519618\pi\) | ||||
−0.0615914 | + | 0.998101i | \(0.519618\pi\) | |||||||
\(744\) | 4.00641 | + | 29.3818i | 0.146882 | + | 1.07719i | ||||
\(745\) | 62.0997 | 2.27516 | ||||||||
\(746\) | −30.0128 | − | 9.75176i | −1.09885 | − | 0.357037i | ||||
\(747\) | −11.3985 | + | 10.3706i | −0.417047 | + | 0.379440i | ||||
\(748\) | −3.02997 | − | 2.20140i | −0.110787 | − | 0.0804913i | ||||
\(749\) | −12.6254 | − | 7.28925i | −0.461320 | − | 0.266344i | ||||
\(750\) | −14.7112 | − | 28.6884i | −0.537175 | − | 1.04755i | ||||
\(751\) | 0.333307 | − | 3.17120i | 0.0121625 | − | 0.115719i | −0.986756 | − | 0.162211i | \(-0.948138\pi\) |
0.998919 | + | 0.0464921i | \(0.0148042\pi\) | |||||||
\(752\) | 11.0608 | + | 15.2239i | 0.403346 | + | 0.555159i | ||||
\(753\) | 0.410724 | + | 7.46708i | 0.0149676 | + | 0.272115i | ||||
\(754\) | −3.96588 | − | 4.40456i | −0.144429 | − | 0.160405i | ||||
\(755\) | 34.9031 | − | 15.5399i | 1.27025 | − | 0.565554i | ||||
\(756\) | 3.51979 | − | 0.211894i | 0.128014 | − | 0.00770650i | ||||
\(757\) | 0.750979 | − | 3.53308i | 0.0272948 | − | 0.128412i | −0.962391 | − | 0.271669i | \(-0.912424\pi\) |
0.989685 | + | 0.143257i | \(0.0457577\pi\) | |||||||
\(758\) | −3.61875 | + | 8.12785i | −0.131439 | + | 0.295217i | ||||
\(759\) | 0.930065 | + | 3.43544i | 0.0337592 | + | 0.124699i | ||||
\(760\) | −7.56894 | − | 23.2948i | −0.274554 | − | 0.844992i | ||||
\(761\) | −25.3996 | − | 11.3087i | −0.920736 | − | 0.409938i | −0.109053 | − | 0.994036i | \(-0.534782\pi\) |
−0.811683 | + | 0.584098i | \(0.801448\pi\) | |||||||
\(762\) | −35.1733 | − | 9.32710i | −1.27419 | − | 0.337885i | ||||
\(763\) | −11.4637 | + | 2.43668i | −0.415012 | + | 0.0882136i | ||||
\(764\) | −0.501706 | − | 1.12685i | −0.0181511 | − | 0.0407680i | ||||
\(765\) | −36.8967 | + | 27.1001i | −1.33400 | + | 0.979805i | ||||
\(766\) | 5.96429 | − | 0.626873i | 0.215499 | − | 0.0226498i | ||||
\(767\) | −45.4791 | + | 33.0425i | −1.64215 | + | 1.19310i | ||||
\(768\) | −3.39037 | + | 21.7706i | −0.122339 | + | 0.785580i | ||||
\(769\) | −21.1761 | − | 36.6781i | −0.763631 | − | 1.32265i | −0.940968 | − | 0.338497i | \(-0.890082\pi\) |
0.177337 | − | 0.984150i | \(-0.443252\pi\) | |||||||
\(770\) | 4.09912 | − | 7.09989i | 0.147722 | − | 0.255862i | ||||
\(771\) | −30.0130 | + | 37.2598i | −1.08089 | + | 1.34188i | ||||
\(772\) | 1.42052 | − | 1.57765i | 0.0511257 | − | 0.0567808i | ||||
\(773\) | 9.35080 | − | 28.7788i | 0.336325 | − | 1.03510i | −0.629741 | − | 0.776805i | \(-0.716839\pi\) |
0.966066 | − | 0.258296i | \(-0.0831611\pi\) | |||||||
\(774\) | −28.0670 | − | 2.80308i | −1.00885 | − | 0.100755i | ||||
\(775\) | −35.0259 | + | 37.0601i | −1.25817 | + | 1.33124i | ||||
\(776\) | − | 32.8778i | − | 1.18025i | ||||||
\(777\) | 17.3112 | + | 6.59375i | 0.621035 | + | 0.236550i | ||||
\(778\) | 9.25503 | + | 8.33327i | 0.331809 | + | 0.298762i | ||||
\(779\) | 4.59559 | − | 6.32529i | 0.164654 | − | 0.226627i | ||||
\(780\) | 11.1516 | − | 17.2697i | 0.399291 | − | 0.618353i | ||||
\(781\) | −10.8575 | + | 6.26859i | −0.388513 | + | 0.224308i | ||||
\(782\) | 6.24456 | + | 0.656330i | 0.223305 | + | 0.0234703i | ||||
\(783\) | 4.26082 | − | 2.21286i | 0.152269 | − | 0.0790810i | ||||
\(784\) | −1.47041 | − | 13.9900i | −0.0525148 | − | 0.499645i | ||||
\(785\) | 36.1124 | − | 32.5158i | 1.28891 | − | 1.16054i | ||||
\(786\) | −5.19012 | + | 2.00773i | −0.185125 | + | 0.0716135i | ||||
\(787\) | 5.04436 | + | 23.7318i | 0.179812 | + | 0.845949i | 0.971873 | + | 0.235506i | \(0.0756749\pi\) |
−0.792061 | + | 0.610442i | \(0.790992\pi\) | |||||||
\(788\) | 1.37213 | + | 0.291655i | 0.0488801 | + | 0.0103898i | ||||
\(789\) | −29.1732 | − | 14.7695i | −1.03860 | − | 0.525808i | ||||
\(790\) | 19.4204 | − | 6.31005i | 0.690945 | − | 0.224502i | ||||
\(791\) | 6.76380 | − | 2.19769i | 0.240493 | − | 0.0781410i | ||||
\(792\) | 7.21659 | − | 12.6503i | 0.256430 | − | 0.449511i | ||||
\(793\) | 25.6539 | + | 5.45291i | 0.910997 | + | 0.193638i | ||||
\(794\) | 3.67775 | + | 17.3025i | 0.130519 | + | 0.614041i | ||||
\(795\) | −20.8547 | − | 53.9108i | −0.739641 | − | 1.91202i | ||||
\(796\) | −4.19604 | + | 3.77813i | −0.148725 | + | 0.133912i | ||||
\(797\) | −4.25644 | − | 40.4973i | −0.150771 | − | 1.43449i | −0.764323 | − | 0.644833i | \(-0.776927\pi\) |
0.613552 | − | 0.789654i | \(-0.289740\pi\) | |||||||
\(798\) | −2.76688 | − | 4.23657i | −0.0979466 | − | 0.149973i | ||||
\(799\) | 30.5060 | + | 3.20631i | 1.07922 | + | 0.113431i | ||||
\(800\) | −25.3044 | + | 14.6095i | −0.894645 | + | 0.516524i | ||||
\(801\) | 4.36221 | − | 6.06993i | 0.154131 | − | 0.214470i | ||||
\(802\) | −24.7133 | + | 34.0149i | −0.872656 | + | 1.20111i | ||||
\(803\) | −2.58129 | − | 2.32420i | −0.0910917 | − | 0.0820194i | ||||
\(804\) | 1.35488 | − | 3.55708i | 0.0477828 | − | 0.125448i | ||||
\(805\) | − | 5.68162i | − | 0.200251i | ||||||
\(806\) | 34.7445 | + | 8.26679i | 1.22382 | + | 0.291185i | ||||
\(807\) | 47.8566 | + | 2.38382i | 1.68463 | + | 0.0839143i | ||||
\(808\) | −8.48127 | + | 26.1027i | −0.298370 | + | 0.918288i | ||||
\(809\) | −12.3149 | + | 13.6771i | −0.432970 | + | 0.480862i | −0.919662 | − | 0.392712i | \(-0.871537\pi\) |
0.486691 | + | 0.873574i | \(0.338204\pi\) | |||||||
\(810\) | −27.2642 | − | 29.6564i | −0.957968 | − | 1.04202i | ||||
\(811\) | 1.69145 | − | 2.92968i | 0.0593949 | − | 0.102875i | −0.834799 | − | 0.550555i | \(-0.814416\pi\) |
0.894194 | + | 0.447680i | \(0.147750\pi\) | |||||||
\(812\) | −0.313514 | − | 0.543022i | −0.0110022 | − | 0.0190563i | ||||
\(813\) | 8.28583 | + | 1.29036i | 0.290597 | + | 0.0452550i | ||||
\(814\) | 14.0070 | − | 10.1767i | 0.490947 | − | 0.356694i | ||||
\(815\) | −48.9097 | + | 5.14061i | −1.71323 | + | 0.180068i | ||||
\(816\) | −11.0331 | − | 13.5529i | −0.386237 | − | 0.474446i | ||||
\(817\) | −6.80554 | − | 15.2855i | −0.238096 | − | 0.534772i | ||||
\(818\) | −8.00096 | + | 1.70066i | −0.279747 | + | 0.0594620i | ||||
\(819\) | 5.70689 | − | 17.8785i | 0.199415 | − | 0.624726i | ||||
\(820\) | −7.42634 | − | 3.30642i | −0.259339 | − | 0.115465i | ||||
\(821\) | −7.68340 | − | 23.6471i | −0.268153 | − | 0.825289i | −0.990950 | − | 0.134229i | \(-0.957144\pi\) |
0.722798 | − | 0.691060i | \(-0.242856\pi\) | |||||||
\(822\) | −2.98099 | + | 0.807032i | −0.103974 | + | 0.0281485i | ||||
\(823\) | −4.38149 | + | 9.84099i | −0.152729 | + | 0.343035i | −0.973664 | − | 0.227986i | \(-0.926786\pi\) |
0.820935 | + | 0.571021i | \(0.193453\pi\) | |||||||
\(824\) | −8.80742 | + | 41.4357i | −0.306821 | + | 1.44348i | ||||
\(825\) | 24.7258 | − | 3.98184i | 0.860842 | − | 0.138630i | ||||
\(826\) | 13.1431 | − | 5.85167i | 0.457306 | − | 0.203606i | ||||
\(827\) | −16.9267 | − | 18.7990i | −0.588598 | − | 0.653704i | 0.373108 | − | 0.927788i | \(-0.378292\pi\) |
−0.961706 | + | 0.274084i | \(0.911625\pi\) | |||||||
\(828\) | −0.0118284 | − | 2.28398i | −0.000411064 | − | 0.0793738i | ||||
\(829\) | 13.6214 | + | 18.7482i | 0.473090 | + | 0.651152i | 0.977159 | − | 0.212512i | \(-0.0681643\pi\) |
−0.504069 | + | 0.863663i | \(0.668164\pi\) | |||||||
\(830\) | 2.40335 | − | 22.8664i | 0.0834215 | − | 0.793703i | ||||
\(831\) | 43.3116 | − | 22.2098i | 1.50246 | − | 0.770450i | ||||
\(832\) | 40.9596 | + | 23.6480i | 1.42002 | + | 0.819848i | ||||
\(833\) | −18.5509 | − | 13.4780i | −0.642750 | − | 0.466985i | ||||
\(834\) | −14.6592 | + | 14.7353i | −0.507606 | + | 0.510242i | ||||
\(835\) | 51.1278 | + | 16.6124i | 1.76935 | + | 0.574897i | ||||
\(836\) | 1.95499 | 0.0676147 | ||||||||
\(837\) | −13.5548 | + | 25.5591i | −0.468524 | + | 0.883451i | ||||
\(838\) | 34.0807 | 1.17730 | ||||||||
\(839\) | −19.1991 | − | 6.23816i | −0.662826 | − | 0.215365i | −0.0417650 | − | 0.999127i | \(-0.513298\pi\) |
−0.621061 | + | 0.783762i | \(0.713298\pi\) | |||||||
\(840\) | −16.3972 | + | 16.4823i | −0.565756 | + | 0.568694i | ||||
\(841\) | 22.7708 | + | 16.5439i | 0.785200 | + | 0.570481i | ||||
\(842\) | 7.73189 | + | 4.46401i | 0.266459 | + | 0.153840i | ||||
\(843\) | −5.34906 | + | 2.74295i | −0.184232 | + | 0.0944724i | ||||
\(844\) | −0.263472 | + | 2.50677i | −0.00906909 | + | 0.0862866i | ||||
\(845\) | −35.5582 | − | 48.9417i | −1.22324 | − | 1.68365i | ||||
\(846\) | 0.139786 | + | 26.9917i | 0.00480593 | + | 0.927994i | ||||
\(847\) | −6.60410 | − | 7.33460i | −0.226920 | − | 0.252020i | ||||
\(848\) | 20.1584 | − | 8.97512i | 0.692244 | − | 0.308207i | ||||
\(849\) | 39.5002 | − | 6.36111i | 1.35564 | − | 0.218313i | ||||
\(850\) | 9.18617 | − | 43.2175i | 0.315083 | − | 1.48235i | ||||
\(851\) | 4.88038 | − | 10.9615i | 0.167297 | − | 0.375756i | ||||
\(852\) | 7.76600 | − | 2.10246i | 0.266059 | − | 0.0720291i | ||||
\(853\) | −14.7495 | − | 45.3942i | −0.505012 | − | 1.55427i | −0.800750 | − | 0.598999i | \(-0.795566\pi\) |
0.295738 | − | 0.955269i | \(-0.404434\pi\) | |||||||
\(854\) | −6.13186 | − | 2.73008i | −0.209828 | − | 0.0934214i | ||||
\(855\) | 7.26666 | − | 22.7650i | 0.248514 | − | 0.778545i | ||||
\(856\) | 37.7966 | − | 8.03391i | 1.29186 | − | 0.274593i | ||||
\(857\) | 19.5412 | + | 43.8903i | 0.667515 | + | 1.49926i | 0.855886 | + | 0.517165i | \(0.173013\pi\) |
−0.188370 | + | 0.982098i | \(0.560321\pi\) | |||||||
\(858\) | −11.0739 | − | 13.6030i | −0.378058 | − | 0.464399i | ||||
\(859\) | −36.6378 | + | 3.85079i | −1.25006 | + | 0.131387i | −0.706338 | − | 0.707875i | \(-0.749654\pi\) |
−0.543727 | + | 0.839262i | \(0.682987\pi\) | |||||||
\(860\) | −14.0744 | + | 10.2256i | −0.479932 | + | 0.348691i | ||||
\(861\) | −7.33294 | − | 1.14197i | −0.249906 | − | 0.0389181i | ||||
\(862\) | 22.7016 | + | 39.3203i | 0.773219 | + | 1.33926i | ||||
\(863\) | −23.0792 | + | 39.9743i | −0.785624 | + | 1.36074i | 0.143001 | + | 0.989723i | \(0.454325\pi\) |
−0.928625 | + | 0.371019i | \(0.879009\pi\) | |||||||
\(864\) | −11.6307 | + | 11.8128i | −0.395683 | + | 0.401879i | ||||
\(865\) | 13.6625 | − | 15.1737i | 0.464539 | − | 0.515923i | ||||
\(866\) | 4.73932 | − | 14.5861i | 0.161049 | − | 0.495657i | ||||
\(867\) | 0.956836 | + | 0.0476615i | 0.0324958 | + | 0.00161867i | ||||
\(868\) | 3.41357 | + | 1.61969i | 0.115864 | + | 0.0549757i | ||||
\(869\) | 7.20239i | 0.244324i | ||||||||
\(870\) | −2.54983 | + | 6.69429i | −0.0864472 | + | 0.226958i | ||||
\(871\) | −15.0551 | − | 13.5557i | −0.510123 | − | 0.459317i | ||||
\(872\) | 18.2588 | − | 25.1311i | 0.618321 | − | 0.851046i | ||||
\(873\) | 18.7194 | − | 26.0477i | 0.633557 | − | 0.881581i | ||||
\(874\) | −2.83845 | + | 1.63878i | −0.0960121 | + | 0.0554326i | ||||
\(875\) | −18.0539 | − | 1.89754i | −0.610333 | − | 0.0641486i | ||||
\(876\) | 1.21886 | + | 1.86629i | 0.0411816 | + | 0.0630560i | ||||
\(877\) | −3.72336 | − | 35.4254i | −0.125729 | − | 1.19623i | −0.857428 | − | 0.514604i | \(-0.827939\pi\) |
0.731699 | − | 0.681628i | \(-0.238728\pi\) | |||||||
\(878\) | −11.8337 | + | 10.6551i | −0.399367 | + | 0.359592i | ||||
\(879\) | −7.23781 | − | 18.7102i | −0.244125 | − | 0.631079i | ||||
\(880\) | 3.07291 | + | 14.4569i | 0.103588 | + | 0.487343i | ||||
\(881\) | −35.7863 | − | 7.60662i | −1.20567 | − | 0.256274i | −0.439104 | − | 0.898436i | \(-0.644704\pi\) |
−0.766568 | + | 0.642163i | \(0.778037\pi\) | |||||||
\(882\) | 9.99824 | − | 17.5264i | 0.336658 | − | 0.590146i | ||||
\(883\) | −44.0738 | + | 14.3204i | −1.48320 | + | 0.481921i | −0.935067 | − | 0.354470i | \(-0.884661\pi\) |
−0.548133 | + | 0.836391i | \(0.684661\pi\) | |||||||
\(884\) | 12.1658 | − | 3.95292i | 0.409182 | − | 0.132951i | ||||
\(885\) | 60.6177 | + | 30.6888i | 2.03764 | + | 1.03159i | ||||
\(886\) | −42.3084 | − | 8.99293i | −1.42138 | − | 0.302123i | ||||
\(887\) | 9.10917 | + | 42.8553i | 0.305856 | + | 1.43894i | 0.815601 | + | 0.578614i | \(0.196406\pi\) |
−0.509745 | + | 0.860325i | \(0.670260\pi\) | |||||||
\(888\) | −45.7929 | + | 17.7144i | −1.53671 | + | 0.594457i | ||||
\(889\) | −15.2265 | + | 13.7100i | −0.510679 | + | 0.459818i | ||||
\(890\) | 1.16576 | + | 11.0915i | 0.0390764 | + | 0.371788i | ||||
\(891\) | 12.9200 | − | 5.91347i | 0.432838 | − | 0.198109i | ||||
\(892\) | −3.96397 | − | 0.416630i | −0.132723 | − | 0.0139498i | ||||
\(893\) | −13.8664 | + | 8.00578i | −0.464022 | + | 0.267903i | ||||
\(894\) | −18.4459 | + | 28.5658i | −0.616922 | + | 0.955383i | ||||
\(895\) | 1.32412 | − | 1.82249i | 0.0442603 | − | 0.0609191i | ||||
\(896\) | −3.49417 | − | 3.14617i | −0.116732 | − | 0.105106i | ||||
\(897\) | −11.3600 | − | 4.32698i | −0.379300 | − | 0.144474i | ||||
\(898\) | 2.55475i | 0.0852532i | ||||||||
\(899\) | 5.14305 | + | 0.124219i | 0.171530 | + | 0.00414293i | ||||
\(900\) | −15.9923 | − | 1.59717i | −0.533077 | − | 0.0532389i | ||||
\(901\) | 11.1150 | − | 34.2086i | 0.370296 | − | 1.13965i | ||||
\(902\) | −4.64127 | + | 5.15465i | −0.154537 | + | 0.171631i | ||||
\(903\) | −9.96294 | + | 12.3686i | −0.331546 | + | 0.411600i | ||||
\(904\) | −9.42518 | + | 16.3249i | −0.313477 | + | 0.542958i | ||||
\(905\) | 6.09344 | + | 10.5542i | 0.202553 | + | 0.350832i | ||||
\(906\) | −3.21917 | + | 20.6713i | −0.106950 | + | 0.686758i | ||||
\(907\) | 2.65334 | − | 1.92776i | 0.0881026 | − | 0.0640103i | −0.542862 | − | 0.839822i | \(-0.682659\pi\) |
0.630965 | + | 0.775812i | \(0.282659\pi\) | |||||||
\(908\) | 3.17305 | − | 0.333501i | 0.105301 | − | 0.0110676i | ||||
\(909\) | −21.5812 | + | 15.8511i | −0.715804 | + | 0.525747i | ||||
\(910\) | 11.3891 | + | 25.5803i | 0.377545 | + | 0.847979i | ||||
\(911\) | 13.1742 | − | 2.80027i | 0.436481 | − | 0.0927769i | 0.0155699 | − | 0.999879i | \(-0.495044\pi\) |
0.420911 | + | 0.907102i | \(0.361710\pi\) | |||||||
\(912\) | 8.81758 | + | 2.33821i | 0.291979 | + | 0.0774258i | ||||
\(913\) | 7.40864 | + | 3.29854i | 0.245190 | + | 0.109166i | ||||
\(914\) | −14.1718 | − | 43.6165i | −0.468763 | − | 1.44270i | ||||
\(915\) | −8.28351 | − | 30.5973i | −0.273844 | − | 1.01152i | ||||
\(916\) | 4.83717 | − | 10.8645i | 0.159824 | − | 0.358972i | ||||
\(917\) | −0.651470 | + | 3.06492i | −0.0215134 | + | 0.101213i | ||||
\(918\) | −1.50635 | − | 25.0221i | −0.0497169 | − | 0.825854i | ||||
\(919\) | 31.7855 | − | 14.1518i | 1.04851 | − | 0.466825i | 0.191157 | − | 0.981559i | \(-0.438776\pi\) |
0.857350 | + | 0.514734i | \(0.172109\pi\) | |||||||
\(920\) | 10.0767 | + | 11.1913i | 0.332219 | + | 0.368966i | ||||
\(921\) | −1.78082 | − | 32.3757i | −0.0586799 | − | 1.06682i | ||||
\(922\) | 3.87245 | + | 5.32996i | 0.127532 | + | 0.175533i | ||||
\(923\) | 4.47600 | − | 42.5863i | 0.147329 | − | 1.40174i | ||||
\(924\) | −0.846739 | − | 1.65124i | −0.0278557 | − | 0.0543217i | ||||
\(925\) | −73.1204 | − | 42.2161i | −2.40419 | − | 1.38806i | ||||
\(926\) | 30.4220 | + | 22.1029i | 0.999729 | + | 0.726346i | ||||
\(927\) | −30.5697 | + | 27.8131i | −1.00404 | + | 0.913501i | ||||
\(928\) | 2.80356 | + | 0.910933i | 0.0920315 | + | 0.0299028i | ||||
\(929\) | −12.2276 | −0.401176 | −0.200588 | − | 0.979676i | \(-0.564285\pi\) | ||||
−0.200588 | + | 0.979676i | \(0.564285\pi\) | |||||||
\(930\) | −10.2707 | − | 41.9259i | −0.336788 | − | 1.37480i | ||||
\(931\) | 11.9693 | 0.392279 | ||||||||
\(932\) | 5.12905 | + | 1.66653i | 0.168008 | + | 0.0545890i | ||||
\(933\) | 28.4117 | + | 28.2649i | 0.930157 | + | 0.925353i | ||||
\(934\) | −13.8250 | − | 10.0445i | −0.452368 | − | 0.328665i | ||||
\(935\) | 20.8643 | + | 12.0460i | 0.682336 | + | 0.393947i | ||||
\(936\) | 20.4676 | + | 45.3375i | 0.669003 | + | 1.48190i | ||||
\(937\) | 0.257967 | − | 2.45439i | 0.00842740 | − | 0.0801814i | −0.989500 | − | 0.144534i | \(-0.953832\pi\) |
0.997927 | + | 0.0643528i | \(0.0204983\pi\) | |||||||
\(938\) | 3.04749 | + | 4.19451i | 0.0995040 | + | 0.136955i | ||||
\(939\) | 6.68726 | − | 0.367830i | 0.218231 | − | 0.0120037i | ||||
\(940\) | 11.1395 | + | 12.3717i | 0.363331 | + | 0.403520i | ||||
\(941\) | −8.46562 | + | 3.76914i | −0.275971 | + | 0.122870i | −0.540056 | − | 0.841629i | \(-0.681597\pi\) |
0.264084 | + | 0.964500i | \(0.414930\pi\) | |||||||
\(942\) | 4.23053 | + | 26.2701i | 0.137838 | + | 0.855925i | ||||
\(943\) | −0.999439 | + | 4.70199i | −0.0325462 | + | 0.153118i | ||||
\(944\) | −10.5495 | + | 23.6945i | −0.343356 | + | 0.771190i | ||||
\(945\) | −22.3752 | + | 3.72228i | −0.727865 | + | 0.121086i | ||||
\(946\) | 4.58706 | + | 14.1175i | 0.149138 | + | 0.459000i | ||||
\(947\) | −5.71879 | − | 2.54617i | −0.185836 | − | 0.0827394i | 0.311709 | − | 0.950177i | \(-0.399098\pi\) |
−0.497545 | + | 0.867438i | \(0.665765\pi\) | |||||||
\(948\) | 1.18471 | − | 4.46762i | 0.0384774 | − | 0.145102i | ||||
\(949\) | 11.6044 | − | 2.46659i | 0.376695 | − | 0.0800689i | ||||
\(950\) | 9.38063 | + | 21.0692i | 0.304348 | + | 0.683577i | ||||
\(951\) | 21.7881 | − | 17.7373i | 0.706528 | − | 0.575171i | ||||
\(952\) | −14.3879 | + | 1.51223i | −0.466315 | + | 0.0490116i | ||||
\(953\) | 2.83580 | − | 2.06033i | 0.0918606 | − | 0.0667406i | −0.540907 | − | 0.841082i | \(-0.681919\pi\) |
0.632767 | + | 0.774342i | \(0.281919\pi\) | |||||||
\(954\) | 30.9935 | + | 6.42030i | 1.00345 | + | 0.207865i | ||||
\(955\) | 3.96733 | + | 6.87161i | 0.128380 | + | 0.222360i | ||||
\(956\) | −1.28269 | + | 2.22169i | −0.0414853 | + | 0.0718546i | ||||
\(957\) | −1.96770 | − | 1.58500i | −0.0636068 | − | 0.0512356i | ||||
\(958\) | −9.16819 | + | 10.1823i | −0.296211 | + | 0.328975i | ||||
\(959\) | −0.537351 | + | 1.65380i | −0.0173520 | + | 0.0534039i | ||||
\(960\) | 2.84388 | − | 57.0927i | 0.0917858 | − | 1.84266i | ||||
\(961\) | −25.9300 | + | 16.9893i | −0.836450 | + | 0.548043i | ||||
\(962\) | 59.1349i | 1.90658i | ||||||||
\(963\) | 34.5188 | + | 15.1550i | 1.11235 | + | 0.488365i | ||||
\(964\) | −4.41506 | − | 3.97534i | −0.142200 | − | 0.128037i | ||||
\(965\) | −8.02690 | + | 11.0481i | −0.258395 | + | 0.355650i | ||||
\(966\) | 2.61354 | + | 1.68765i | 0.0840893 | + | 0.0542992i | ||||
\(967\) | 37.7052 | − | 21.7691i | 1.21252 | − | 0.700047i | 0.249211 | − | 0.968449i | \(-0.419829\pi\) |
0.963307 | + | 0.268402i | \(0.0864955\pi\) | |||||||
\(968\) | 26.0167 | + | 2.73446i | 0.836208 | + | 0.0878890i | ||||
\(969\) | 12.4499 | − | 8.13099i | 0.399949 | − | 0.261205i | ||||
\(970\) | 5.00260 | + | 47.5965i | 0.160624 | + | 1.52823i | ||||
\(971\) | 19.0331 | − | 17.1375i | 0.610801 | − | 0.549968i | −0.304615 | − | 0.952475i | \(-0.598528\pi\) |
0.915417 | + | 0.402507i | \(0.131861\pi\) | |||||||
\(972\) | −8.98695 | + | 1.54292i | −0.288257 | + | 0.0494891i | ||||
\(973\) | 2.43325 | + | 11.4476i | 0.0780066 | + | 0.366992i | ||||
\(974\) | 7.03117 | + | 1.49452i | 0.225293 | + | 0.0478876i | ||||
\(975\) | −38.6365 | + | 76.3162i | −1.23736 | + | 2.44407i | ||||
\(976\) | 11.5085 | − | 3.73934i | 0.368378 | − | 0.119693i | ||||
\(977\) | 54.4437 | − | 17.6898i | 1.74181 | − | 0.565948i | 0.746739 | − | 0.665117i | \(-0.231619\pi\) |
0.995071 | + | 0.0991693i | \(0.0316186\pi\) | |||||||
\(978\) | 12.1633 | − | 24.0254i | 0.388938 | − | 0.768246i | ||||
\(979\) | −3.84774 | − | 0.817863i | −0.122974 | − | 0.0261390i | ||||
\(980\) | −2.58744 | − | 12.1730i | −0.0826528 | − | 0.388851i | ||||
\(981\) | 28.7744 | − | 9.51439i | 0.918695 | − | 0.303771i | ||||
\(982\) | −34.8230 | + | 31.3547i | −1.11125 | + | 1.00057i | ||||
\(983\) | 4.92386 | + | 46.8474i | 0.157047 | + | 1.49420i | 0.734965 | + | 0.678105i | \(0.237198\pi\) |
−0.577919 | + | 0.816094i | \(0.696135\pi\) | |||||||
\(984\) | 16.4693 | − | 10.7560i | 0.525022 | − | 0.342890i | ||||
\(985\) | −8.97424 | − | 0.943231i | −0.285943 | − | 0.0300538i | ||||
\(986\) | −3.86033 | + | 2.22876i | −0.122938 | + | 0.0709783i | ||||
\(987\) | 12.7677 | + | 8.24451i | 0.406400 | + | 0.262426i | ||||
\(988\) | −3.92480 | + | 5.40203i | −0.124865 | + | 0.171861i | ||||
\(989\) | 7.64500 | + | 6.88359i | 0.243097 | + | 0.218885i | ||||
\(990\) | −8.52246 | + | 19.4117i | −0.270862 | + | 0.616944i | ||||
\(991\) | − | 24.2125i | − | 0.769137i | −0.923097 | − | 0.384568i | \(-0.874350\pi\) | ||
0.923097 | − | 0.384568i | \(-0.125650\pi\) | |||||||
\(992\) | −17.0213 | + | 5.07959i | −0.540428 | + | 0.161277i | ||||
\(993\) | 0.809297 | − | 16.2471i | 0.0256822 | − | 0.515588i | ||||
\(994\) | −3.38649 | + | 10.4226i | −0.107413 | + | 0.330583i | ||||
\(995\) | 24.3036 | − | 26.9918i | 0.770474 | − | 0.855699i | ||||
\(996\) | −4.05299 | − | 3.26471i | −0.128424 | − | 0.103446i | ||||
\(997\) | 15.9655 | − | 27.6531i | 0.505634 | − | 0.875783i | −0.494345 | − | 0.869266i | \(-0.664592\pi\) |
0.999979 | − | 0.00651764i | \(-0.00207464\pi\) | |||||||
\(998\) | −1.31791 | − | 2.28268i | −0.0417176 | − | 0.0722570i | ||||
\(999\) | −46.3656 | − | 12.0384i | −1.46694 | − | 0.380878i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 93.2.p.b.17.5 | yes | 64 | |
3.2 | odd | 2 | inner | 93.2.p.b.17.4 | yes | 64 | |
31.11 | odd | 30 | inner | 93.2.p.b.11.4 | ✓ | 64 | |
93.11 | even | 30 | inner | 93.2.p.b.11.5 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
93.2.p.b.11.4 | ✓ | 64 | 31.11 | odd | 30 | inner | |
93.2.p.b.11.5 | yes | 64 | 93.11 | even | 30 | inner | |
93.2.p.b.17.4 | yes | 64 | 3.2 | odd | 2 | inner | |
93.2.p.b.17.5 | yes | 64 | 1.1 | even | 1 | trivial |